2(x+6)=x-2

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


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

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

Reorder the terms:
12 + 2x = -2 + x

Solving
12 + 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.
12 + 2x + -1x = -2 + x + -1x

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

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

Add '-12' to each side of the equation.
12 + -12 + 1x = -2 + -12

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

Combine like terms: -2 + -12 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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