-2(-2x-6)=x-8(1-x)

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Solution for -2(-2x-6)=x-8(1-x) equation: 


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

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

Reorder the terms:
12 + 4x = -8 + x + 8x

Combine like terms: x + 8x = 9x
12 + 4x = -8 + 9x

Solving
12 + 4x = -8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12 + 4x + -9x = -8 + 9x + -9x

Combine like terms: 4x + -9x = -5x
12 + -5x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -5x = -8 + 0
12 + -5x = -8

Add '-12' to each side of the equation.
12 + -12 + -5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -8 + -12
-5x = -8 + -12

Combine like terms: -8 + -12 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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