x+6=2(x-6)

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Solution for x+6=2(x-6) equation:


Simplifying
x + 6 = 2(x + -6)

Reorder the terms:
6 + x = 2(x + -6)

Reorder the terms:
6 + x = 2(-6 + x)
6 + x = (-6 * 2 + x * 2)
6 + x = (-12 + 2x)

Solving
6 + x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + x + -2x = -12 + 2x + -2x

Combine like terms: x + -2x = -1x
6 + -1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -1x = -12 + 0
6 + -1x = -12

Add '-6' to each side of the equation.
6 + -6 + -1x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -12 + -6
-1x = -12 + -6

Combine like terms: -12 + -6 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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