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

x=-8

Step-by-step explanation:

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

distribute

4 - 2*7 - 2*8x = 12 - 6*3x - 6 (-7) + 4x

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

combine like terms

-10 - 16x = 54 - 8x

add 16x to each side

-10 - 16x+16x = 54-8x+16x

-10 = 54 + 8x

subtract 54 from each side

-10-54 = 54-54 + 8x

-64 = 8x

divide by 8

-64/8 = 8x/8

-8 = x