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

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


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

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

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

Solving
-8 + 1x = -4 + 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 + 1x + -3x = -4 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-8 + -2x = -4 + 0
-8 + -2x = -4

Add '8' to each side of the equation.
-8 + 8 + -2x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -4 + 8
-2x = -4 + 8

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

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

Simplifying
x = -2

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