2(x-8)-x=5x-16

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Solution for 2(x-8)-x=5x-16 equation:


Simplifying
2(x + -8) + -1x = 5x + -16

Reorder the terms:
2(-8 + x) + -1x = 5x + -16
(-8 * 2 + x * 2) + -1x = 5x + -16
(-16 + 2x) + -1x = 5x + -16

Combine like terms: 2x + -1x = 1x
-16 + 1x = 5x + -16

Reorder the terms:
-16 + 1x = -16 + 5x

Add '16' to each side of the equation.
-16 + 16 + 1x = -16 + 16 + 5x

Combine like terms: -16 + 16 = 0
0 + 1x = -16 + 16 + 5x
1x = -16 + 16 + 5x

Combine like terms: -16 + 16 = 0
1x = 0 + 5x
1x = 5x

Solving
1x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1x + -5x = 5x + -5x

Combine like terms: 1x + -5x = -4x
-4x = 5x + -5x

Combine like terms: 5x + -5x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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