# 6x+12=2x-6

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## Solution for 6x+12=2x-6 equation:

Simplifying
6x + 12 = 2x + -6

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

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

Solving
12 + 6x = -6 + 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.
12 + 6x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 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`