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solve for x.

-7x + 40 = -37
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solve for m

m/8 - 4 = -12
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solve for x.

2/5 (10x + 15)= 26
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50(4x + 12) = -200
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solve for x.
1.5 - x = -4.5
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solve for y.

6y - 9y + 6 = -12
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solve for w.

15w + 3w + 19 = -17
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(6x - 10) - (2x + 12)
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half the sum of a number and 26 is 15. What is the number?
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four times the difference of a number and 7 is 12. What is the number?
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What is the first step in solving the equation

3=6y+9
Answered by GPT 3.5
To solve for x, we need to isolate x on one side of the equation.

First, let's subtract 40 from both sides of the equation:
-7x + 40 - 40 = -37 - 40
-7x = -77

Next, let's divide both sides of the equation by -7:
-7x / -7 = -77 / -7
x = 11

So the solution to the equation is x = 11.
Answered by GPT 3.5
To solve for m, we need to isolate m on one side of the equation.

First, let's add 4 to both sides of the equation:
m/8 - 4 + 4 = -12 + 4
m/8 = -8

Next, let's multiply both sides of the equation by 8 to remove the fraction:
8 * (m/8) = -8 * 8
m = -64

So the solution to the equation is m = -64.
Answered by GPT 3.5
To solve for x, we need to isolate the variable on one side of the equation.

First, distribute the 2/5 to the terms inside the parentheses:
(2/5)(10x + 15) = 26
(2/5)(10x) + (2/5)(15) = 26
(4x + 6) = 26

Next, subtract 6 from both sides of the equation:
4x + 6 - 6 = 26 - 6
4x = 20

Then, divide both sides by 4 to solve for x:
4x / 4 = 20 / 4
x = 5

So the solution to the equation is x = 5.
Answered by GPT 3.5
To solve for x, we need to isolate the variable on one side of the equation.

Let's begin by distributing 50 to the terms inside the parentheses:
50(4x + 12) = -200
200x + 600 = -200

Next, subtract 600 from both sides of the equation:
200x + 600 - 600 = -200 - 600
200x = -800

Then, divide both sides by 200 to solve for x:
200x / 200 = -800 / 200
x = -4

So the solution to the equation is x = -4.
Answered by GPT 3.5
To solve for x, we need to isolate the variable on one side of the equation.

First, let's add x to both sides of the equation:
1.5 - x + x = -4.5 + x
1.5 = -4.5 + x

Next, let's subtract -4.5 from both sides of the equation:
1.5 - 4.5 = -4.5 + x - 4.5
-3 = x

So the solution to the equation is x = -3.
Answered by GPT 3.5
To solve for y, we need to combine like terms and isolate y on one side of the equation.

First, let's combine the y terms:
6y - 9y + 6 = -12
-3y + 6 = -12

Next, let's move the constant term to the other side of the equation:
-3y + 6 - 6 = -12 - 6
-3y = -18

Then, divide both sides by -3 to solve for y:
(-3y) / -3 = (-18) / -3
y = 6

So the solution to the equation is y = 6.
Answered by GPT 3.5
To solve for w, we need to combine like terms and isolate w on one side of the equation.

First, let's combine the w terms:
15w + 3w + 19 = -17
18w + 19 = -17

Next, let's move the constant term to the other side of the equation:
18w + 19 - 19 = -17 - 19
18w = -36

Then, divide both sides by 18 to solve for w:
(18w) / 18 = (-36) / 18
w = -2

So the solution to the equation is w = -2.
Answered by GPT 3.5
To simplify the expression (6x - 10) - (2x + 12), we need to distribute the negative sign to the terms inside the parentheses:

(6x - 10) - (2x + 12)
= 6x - 10 - 2x - 12 (distributing the negative sign)
= (6x - 2x) - (10 + 12) (grouping like terms)
= 4x - 22 (combining like terms)

So the simplified expression is 4x - 22.
Answered by GPT 3.5
Let's represent the unknown number as variable "x".

The given statement can be translated into the equation: (1/2)(x + 26) = 15.

To solve for x, we need to isolate it on one side of the equation.

First, let's multiply both sides by 2 to eliminate the fraction:
2 * (1/2)(x + 26) = 2 * 15
x + 26 = 30

Next, subtract 26 from both sides of the equation:
x + 26 - 26 = 30 - 26
x = 4

Therefore, the number is 4.
Answered by GPT 3.5
Let's represent the unknown number as variable "x".

The given statement can be translated into the equation: 4(x - 7) = 12.

To solve for x, we need to isolate it on one side of the equation.

First, let's distribute the 4 to the terms inside the parentheses:
4x - 28 = 12.

Next, let's move the constant term to the other side of the equation:
4x - 28 + 28 = 12 + 28.
4x = 40.

Then, divide both sides by 4 to solve for x:
4x / 4 = 40 / 4.
x = 10.

Therefore, the number is 10.
Answered by GPT 3.5
The first step in solving the equation 3 = 6y + 9 is to isolate the variable on one side of the equation.

To do this, we can start by subtracting 9 from both sides of the equation:

3 - 9 = 6y + 9 - 9

This simplifies to:

-6 = 6y

So the first step in solving the equation is to subtract 9 from both sides.