2(x+6)=6x-6

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


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

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

Reorder the terms:
12 + 2x = -6 + 6x

Solving
12 + 2x = -6 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -6x = -4x
12 + -4x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -4x = -6 + 0
12 + -4x = -6

Add '-12' to each side of the equation.
12 + -12 + -4x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -6 + -12
-4x = -6 + -12

Combine like terms: -6 + -12 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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