8(1-x)-2(x+1)=3(2-2x)

Solution for 8(1-x)-2(x+1)=3(2-2x) equation:

Simplifying
8(1 + -1x) + -2(x + 1) = 3(2 + -2x)
(1 * 8 + -1x * 8) + -2(x + 1) = 3(2 + -2x)
(8 + -8x) + -2(x + 1) = 3(2 + -2x)

Reorder the terms:
8 + -8x + -2(1 + x) = 3(2 + -2x)
8 + -8x + (1 * -2 + x * -2) = 3(2 + -2x)
8 + -8x + (-2 + -2x) = 3(2 + -2x)

Reorder the terms:
8 + -2 + -8x + -2x = 3(2 + -2x)

Combine like terms: 8 + -2 = 6
6 + -8x + -2x = 3(2 + -2x)

Combine like terms: -8x + -2x = -10x
6 + -10x = 3(2 + -2x)
6 + -10x = (2 * 3 + -2x * 3)
6 + -10x = (6 + -6x)

Add '-6' to each side of the equation.
6 + -6 + -10x = 6 + -6 + -6x

Combine like terms: 6 + -6 = 0
0 + -10x = 6 + -6 + -6x
-10x = 6 + -6 + -6x

Combine like terms: 6 + -6 = 0
-10x = 0 + -6x
-10x = -6x

Solving
-10x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10x + 6x = -6x + 6x

Combine like terms: -10x + 6x = -4x
-4x = -6x + 6x

Combine like terms: -6x + 6x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0