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

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


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

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

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

Solving
8 + -2x = -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.
8 + -2x + -2x = -8 + 2x + -2x

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

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

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

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

Combine like terms: -8 + -8 = -16
-4x = -16

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

Simplifying
x = 4

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