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

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


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

Reorder the terms:
2(-8 + x) + 8 = 2x + -8(8 + -1x)
(-8 * 2 + x * 2) + 8 = 2x + -8(8 + -1x)
(-16 + 2x) + 8 = 2x + -8(8 + -1x)

Reorder the terms:
-16 + 8 + 2x = 2x + -8(8 + -1x)

Combine like terms: -16 + 8 = -8
-8 + 2x = 2x + -8(8 + -1x)
-8 + 2x = 2x + (8 * -8 + -1x * -8)
-8 + 2x = 2x + (-64 + 8x)

Reorder the terms:
-8 + 2x = -64 + 2x + 8x

Combine like terms: 2x + 8x = 10x
-8 + 2x = -64 + 10x

Solving
-8 + 2x = -64 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 2x + -10x = -64 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-8 + -8x = -64 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + -8x = -64 + 0
-8 + -8x = -64

Add '8' to each side of the equation.
-8 + 8 + -8x = -64 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = -64 + 8
-8x = -64 + 8

Combine like terms: -64 + 8 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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