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

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


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

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

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

Combine like terms: -8x + 2x = -6x
6 + -6x = 2(2 + -2x)
6 + -6x = (2 * 2 + -2x * 2)
6 + -6x = (4 + -4x)

Solving
6 + -6x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + -6x + 4x = 4 + -4x + 4x

Combine like terms: -6x + 4x = -2x
6 + -2x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + -2x = 4 + 0
6 + -2x = 4

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 4 + -6
-2x = 4 + -6

Combine like terms: 4 + -6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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