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

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


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

Reorder the terms:
-8 + 2x = 4(8 + -2x)
-8 + 2x = (8 * 4 + -2x * 4)
-8 + 2x = (32 + -8x)

Solving
-8 + 2x = 32 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-8 + 2x + 8x = 32 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-8 + 10x = 32 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 10x = 32 + 0
-8 + 10x = 32

Add '8' to each side of the equation.
-8 + 8 + 10x = 32 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 32 + 8
10x = 32 + 8

Combine like terms: 32 + 8 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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