-2(x-6)-4=2(8-x)-x

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Solution for -2(x-6)-4=2(8-x)-x equation: 


Simplifying
-2(x + -6) + -4 = 2(8 + -1x) + -1x

Reorder the terms:
-2(-6 + x) + -4 = 2(8 + -1x) + -1x
(-6 * -2 + x * -2) + -4 = 2(8 + -1x) + -1x
(12 + -2x) + -4 = 2(8 + -1x) + -1x

Reorder the terms:
12 + -4 + -2x = 2(8 + -1x) + -1x

Combine like terms: 12 + -4 = 8
8 + -2x = 2(8 + -1x) + -1x
8 + -2x = (8 * 2 + -1x * 2) + -1x
8 + -2x = (16 + -2x) + -1x

Combine like terms: -2x + -1x = -3x
8 + -2x = 16 + -3x

Solving
8 + -2x = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + -2x + 3x = 16 + -3x + 3x

Combine like terms: -2x + 3x = 1x
8 + 1x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 1x = 16 + 0
8 + 1x = 16

Add '-8' to each side of the equation.
8 + -8 + 1x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 16 + -8
1x = 16 + -8

Combine like terms: 16 + -8 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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