Solve for x: 3(x + 1) = -2 (x-1) - 4

Answers

Answer 1

Answer: x = -1

Remove parentheses

Calculate

Move the terms

collect like terms, calculate.

divide both sides.

Answer 2

Answer: x = -1

3(x + 1) = -2(x-1) - 4 (Expand by distributing)

3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)

3x + 2x = 2 - 4 - 3 (Collect like terms)

5x = -5 (Divide both sides by 5 to isolate for x)

x = -1

∴ x = -1.


Related Questions

What is the greatest common factor of 22 and 11?

Answers

Answer:

ur answer is 11 hopefully that's help

A water tank holds 648 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 864 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?


The amount of water in the two tanks will be the same in ________ weeks.

Answers

Answer:

The first tank contains

486 gal - (4 gal/week) t

gal of water after t weeks.

Similarly, the second tank contains

648 gal - (7 gal/week) t

gal of water.

The tanks hold the same amount of water when these two amounts are equal:

486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t

(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal

(3 gal/week) t = 162 gal

t = (162 gal) / (3 gal/week)

t = 54 weeks

Step-by-step explanation:

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School.
Grade Teachers Students
6 1 25
7 2 50
8 3 75

Which teacher-to-student ratio maintains the proportional relationship described in the table?

Teachers Students
5 125
Teachers Students
4 120
Teachers Students
4 100
Teachers Students
6 130
Teachers Students
7 125

Answers

Answer:

no one and i am doing time pass and

6 130 will be a right answer

whe it is rong i am sorry

Answer:

6 teachers, and 130 student's

Step-by-step explanation:

What 2+2.... I need help lololololol.olo

Answers

Answer:

4

Step-by-step explanation:

2+2 is 4

4 :) you’re welcome

plz help, find missing angle.

Answers

Answer:

I don't know the answer because the picture says it's blocked I'm so sorry

Step-by-step explanation:

is there anymore information

what is the lcm of 16 and 24​

Answers

Answer:

48

Step-by-step explanation:

Solve for X.
3(x + 2) = 7x + 6 - 4x

Answers

x=14

Hope this helps! (:

Answer:

(-∞,∞)

any value makes the equation true

(its infinite)

Step-by-step explanation:

3(x + 2) = 7x + 6 - 4x

distribute

3x + 6 = 7x + 6 - 4x

combine like terms

3x + 6 = 3x + 6

move the variable to the other side

0 + 6 = 6

move the 6

0 = 0

John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.​

Answers

Answer: 800 - 25w = 1400

Step-by-step explanation:

What is there to edplain??

Answer:

800+25w=1400

Step-by-step explanation:

took the test

An airplane pilot over the Pacific sights a ship wreck at an angle of depression of 5°. At this time, the horizontal distance from the airplane to the wreck is 4629 meters. What is the height of the plane to the nearest meter?





405 m

Answers

Answer:

The height of the plane is 405 meters

Step-by-step explanation:

Trigonometric Ratios

The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.

Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:

[tex]\displaystyle \tan\ x=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 5^\circ=\frac{H}{4629}[/tex]

We need to find H, so we solve for H:

[tex]H=4629\cdot\tan5^\circ[/tex]

H=405 m

The height of the plane is 405 meters

What number is represented by a point 6 units to the left of 5 on the number ling
shown

Answers

Answer:

-1

Step-by-step explanation:

5-6=-1

Marcus invested $2000 in a bank account earning simple interest. The interest, I, he has after t years at an interest rate r is given by this equation.

l = 2000 rt

After 2 years, the total amount in the account was $2160. What was the annual interest rate?

Answers

Answer:

4%

Step-by-step explanation:

Answer:

4% hope this helps

Step-by-step explanation:

Which activity would Descartes most likely have enjoyed in his free time? (straight up)

Answers

Answer:

Buns VI jdgsjs ssndbssbhejdjeejsgejeoe

Step-by-step explanation:

Bdnee Ded modi’s no rhenxns hi s in dndn

Answer:

Rene Descartes was a philosopher and he loved math and science. He was French.

Step-by-step explanation:

3х + 2y = 2
y = 4
Substitution

Answers

Answer:

x=-2

Step-by-step explanation:

hi! let's plug in 4 for y in the equation.

3x+2(4)=2

3x+8=2

3x=-6

x=-2

Answer:

x= -2

Step-by-step explanation:

you are going to substitute 4 in for y and then solve for x.

find two possible factors for the estimated product 5,600​

Answers

Answer:

If you want to find the other factor you would divide 5,600. One factor is 80 so the other factor should be 70 but if you put a dot you would get 0.07.

Step-by-step explanation:

Solve The equation mx + 3b = 25 for x *

Answers

x = 25 - 3b.

subtract 3b from both sides of the equation

What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?

Answers

Answer:

7.406

Step-by-step explanation:

It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.

7.406 is the decimal form

What is decimal in numeral system ?

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.

= (7x1)+(4x1/10)+(6x1/1000)

= 7 + 0.4 + 0.006

= 7.406

therefore , the decimal form of the expression is 7.406

Read more about decimal here:

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The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.

Which statement describes the limitation for the reasonable domain compared to the mathematical domain?

The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.

Answers

Answer:The reasonable domain contains only positive whole numbers.

Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.

Answer:

B on edge 2021

Step-by-step explanation:

Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
How often will a bag contain both a T-shirt and socks?
T shirt: Every fourth bag
Socks: Every third bag

Answers

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

Select the correct answer.
Find the inverse of function f.
f(x) = 1/2x + 7

Answers

Answer:

f'(x)= 2x - 14

Step-by-step explanation:

change f(x) to y   y = 1/2x + 7

switch x and y    x = 1/2y + 7

multiply everything by 2 to cancel the denominator 2x = y + 14

solve for y     2x - 14 = y

then change y to f'(x)   f'(x) = 2x - 14

Answer:

B    --   f'(x)= 2x - 14

PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE

Answers

Answer:

18 hours. For 1 hour you packed 10 boxes.

Step-by-step explanation:

The answer it’s 18 hours

(4x+45)
(5x-18)
Solve for x.

Answers

Answer:

Is there a certain equation?

Because my answer will probably be wrong.

Answer: x = 63

Step-by-step explanation:

Let’s just say that x in both cases is the same value.

Equation:

(4x + 45) = (5x - 18)

x = 63

Answer: x = 63

Step-by-step explanation:

Neeed help like NEOW

Answers

Answer:

_17 or -10 i think its -10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ha

PLEASE HELP!!
WILL GIVE BRAINLIEST TO CORRECT ANSWER (STEPS INCLUDED..)

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).

Triangle ABC has coordinates A(1, 4); B(3, -2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x axis.

Answers

When translated over the x axis, the x values remain the same and the y values become the opposite sign ( a negative becomes a positive and a positive becomes a negative)

A( 1,4) becomes A’(1,-4)

B(3,-2) becomes B’(3,2)

C(4,2) becomes C’(4,-2)

In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5

Answers

b) line 3 because when they combined like terms, 6x and -2x they added 6 and 2 but should’ve done 6 plus -2

CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
19
Constructed Responses
..
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
...
A. How much does Curtis charge to deliver the food?

Answers

Answer:

I'm Pretty Sure it is $16.20

Step-by-step explanation:

First, you add 2.50 + 0.20 and you get 2.70. Then, you get 2.70 x 6 miles and you get 16.20. Hope this helps! :)

16/25 divided by 15/8​

Answers

Answer:

128/375

Step-by-step explanation:

16/25 divided by 15/8​

16/25 X 8/15 = 128/375

helllllpppppp pleasxee huryyyyy

Answers

Answer:

Bottom left

Step-by-step explanation:

Function: each x only has one y, and this is the only graph that fits the description

The answer is the bottom left one!

3) New Orleans, Louisiana, is 6 feet below sea
level. The highest point in Louisiana, Driskill
Mountain, is 541 feet higher than New Orleans.
How high is Driskill Mountain?

This is my hw lol i don’t understand it please help.

Answers

Answer:

-6+541=535

Step-by-step explanation:

Some car jacks are constructed like a collapsed rhombus. When used to raise a​ car, the rhombus is easily seen. If the sides of the rhombus are 15​", what is the maximum length of the​ shaft?

Answers

Complete question is;

Some car jacks are constructed like a collapsed rhombus. When used to raise a car, the rhombus is easily seen. If the sides of the rhombus are 15 inches, what is the maximum length of the shaft?

Answer:

Maximum length of shaft = 30 inches

Step-by-step explanation:

To understand this clearly, I've attached a real life image of a car jack that's in the shape of a rhombus.

From the attached image, we can see that it has four sides which are equal in length.

Now, if this jack is collapsed, the shaft will just be like a straight line with a maximum length equal to twice a side of the rhombus which represents the maximum length of the diagonal.

Since we are told that one side of the rhombus is 15 inches, it means that the maximum length of shaft = 2 × 15 = 30 inches

Write the equation in slope intercept form: 3x - 4y = 8*

Answers

Answer:

the answer is y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

The equation 3x - 4y = 8  written in slope-intercept form as y = (3/4)x - 2.

To write the equation 3x - 4y = 8 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept,  to isolate y on one side of the equation.

Starting with the given equation:

3x - 4y = 8

First, let's subtract 3x from both sides of the equation to isolate the y term:

-4y = -3x + 8

Next, divide both sides of the equation by -4 to solve for y:

y = (3/4)x - 2

Now the equation in slope-intercept form. The slope is 3/4, and the y-intercept is -2.

To know more about equation here

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