2(2x-4)+x=16-x

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Solution for 2(2x-4)+x=16-x equation:


Simplifying
2(2x + -4) + x = 16 + -1x

Reorder the terms:
2(-4 + 2x) + x = 16 + -1x
(-4 * 2 + 2x * 2) + x = 16 + -1x
(-8 + 4x) + x = 16 + -1x

Combine like terms: 4x + x = 5x
-8 + 5x = 16 + -1x

Solving
-8 + 5x = 16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 5x + x = 16 + -1x + x

Combine like terms: 5x + x = 6x
-8 + 6x = 16 + -1x + x

Combine like terms: -1x + x = 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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