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

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Solution for -2(x-1)-x=-(4x-8)+2x equation:


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

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

Combine like terms: -2x + -1x = -3x
2 + -3x = -1(4x + -8) + 2x

Reorder the terms:
2 + -3x = -1(-8 + 4x) + 2x
2 + -3x = (-8 * -1 + 4x * -1) + 2x
2 + -3x = (8 + -4x) + 2x

Combine like terms: -4x + 2x = -2x
2 + -3x = 8 + -2x

Solving
2 + -3x = 8 + -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 + -3x + 2x = 8 + -2x + 2x

Combine like terms: -3x + 2x = -1x
2 + -1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + -1x = 8 + 0
2 + -1x = 8

Add '-2' to each side of the equation.
2 + -2 + -1x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 8 + -2
-1x = 8 + -2

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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