-3 (x-8)+7x=12

What does x equal?
Please show your work.

-3 (x-8)+7x=12

-3x+24 +7x=12
4x=-12
x=-3

Thank you.

To find the value of x in the equation -3(x-8) + 7x = 12, follow these steps:

Step 1: Distribute the -3 to the terms inside the parentheses:
-3(x-8) = -3x + 24

The equation becomes:
-3x + 24 + 7x = 12

Step 2: Combine like terms on the left side of the equation:
-3x + 7x + 24 = 12
4x + 24 = 12

Step 3: Move the constant term to the right side of the equation by subtracting 24 from both sides:
4x + 24 - 24 = 12 - 24
4x = -12

Step 4: Solve for x by dividing both sides of the equation by 4:
4x/4 = -12/4
x = -3

Therefore, x equals -3.

To solve the equation -3(x-8) + 7x = 12 for x, we will follow these steps:

Step 1: Distribute the -3 across the terms inside the parentheses:

-3 * x = -3x
-3 * (-8) = +24

The equation becomes:

-3x + 24 + 7x = 12

Step 2: Combine like terms:

-3x + 7x + 24 = 12
(7x - 3x) + 24 = 12
4x + 24 = 12

Step 3: Isolate the variable term:

Subtract 24 from both sides:

4x + 24 - 24 = 12 - 24
4x = -12

Step 4: Solve for x by dividing both sides by 4:

4x/4 = -12/4
x = -3

Therefore, x equals -3.