4(x+8)+2(-x+2)=-8

Solution for 4(x+8)+2(-x+2)=-8 equation:

Simplifying
4(x + 8) + 2(-1x + 2) = -8

Reorder the terms:
4(8 + x) + 2(-1x + 2) = -8
(8 * 4 + x * 4) + 2(-1x + 2) = -8
(32 + 4x) + 2(-1x + 2) = -8

Reorder the terms:
32 + 4x + 2(2 + -1x) = -8
32 + 4x + (2 * 2 + -1x * 2) = -8
32 + 4x + (4 + -2x) = -8

Reorder the terms:
32 + 4 + 4x + -2x = -8

Combine like terms: 32 + 4 = 36
36 + 4x + -2x = -8

Combine like terms: 4x + -2x = 2x
36 + 2x = -8

Solving
36 + 2x = -8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + 2x = -8 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = -8 + -36
2x = -8 + -36

Combine like terms: -8 + -36 = -44
2x = -44

Divide each side by '2'.
x = -22

Simplifying
x = -22