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

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


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

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

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

Remove parenthesis around (2 + x)
-16 + 2x = 2 + x

Solving
-16 + 2x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + 2x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
-16 + 1x = 2 + 0
-16 + 1x = 2

Add '16' to each side of the equation.
-16 + 16 + 1x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 2 + 16
1x = 2 + 16

Combine like terms: 2 + 16 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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