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

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


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

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

Combine like terms: 8x + x = 9x
-4 + 9x = 16 + -1x

Solving
-4 + 9x = 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.
-4 + 9x + x = 16 + -1x + x

Combine like terms: 9x + x = 10x
-4 + 10x = 16 + -1x + x

Combine like terms: -1x + x = 0
-4 + 10x = 16 + 0
-4 + 10x = 16

Add '4' to each side of the equation.
-4 + 4 + 10x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 10x = 16 + 4
10x = 16 + 4

Combine like terms: 16 + 4 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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