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

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


Simplifying
8(1 + -1x) + -3(2 + -2x) = 2(x + -1)
(1 * 8 + -1x * 8) + -3(2 + -2x) = 2(x + -1)
(8 + -8x) + -3(2 + -2x) = 2(x + -1)
8 + -8x + (2 * -3 + -2x * -3) = 2(x + -1)
8 + -8x + (-6 + 6x) = 2(x + -1)

Reorder the terms:
8 + -6 + -8x + 6x = 2(x + -1)

Combine like terms: 8 + -6 = 2
2 + -8x + 6x = 2(x + -1)

Combine like terms: -8x + 6x = -2x
2 + -2x = 2(x + -1)

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

Solving
2 + -2x = -2 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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