4 − 2(7 + 8x) = 12 − 6(2x − 7) + 4x

Question

Responses
A −4−4
B −8−8
C 44
D 8

Answer 1

To solve the equation, first distribute the numbers outside the parentheses:

4 - 2(7 + 8x) = 12 - 6(2x - 7) + 4x

4 - 14 - 16x = 12 - 12x + 42 + 4x

Combine like terms:

-10 - 16x = 12 - 8x + 42

Combine like terms again:

-10 - 16x = 54 - 8x

Now, add 16x to both sides of the equation:

-10 = 54 + 8x

Subtract 54 from both sides of the equation:

-64 = 8x

Divide both sides of the equation by 8:

-8 = x

The solution to the equation is x = -8. Therefore, the correct response is D) 8.