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

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


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

Reorder the terms:
8 + -2x = 2(-8 + 2x)
8 + -2x = (-8 * 2 + 2x * 2)
8 + -2x = (-16 + 4x)

Solving
8 + -2x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + -2x + -4x = -16 + 4x + -4x

Combine like terms: -2x + -4x = -6x
8 + -6x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -6x = -16 + 0
8 + -6x = -16

Add '-8' to each side of the equation.
8 + -8 + -6x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -16 + -8
-6x = -16 + -8

Combine like terms: -16 + -8 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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