2x+8=12x-12

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Solution for 2x+8=12x-12 equation:


Simplifying
2x + 8 = 12x + -12

Reorder the terms:
8 + 2x = 12x + -12

Reorder the terms:
8 + 2x = -12 + 12x

Solving
8 + 2x = -12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
8 + 2x + -12x = -12 + 12x + -12x

Combine like terms: 2x + -12x = -10x
8 + -10x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
8 + -10x = -12 + 0
8 + -10x = -12

Add '-8' to each side of the equation.
8 + -8 + -10x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = -12 + -8
-10x = -12 + -8

Combine like terms: -12 + -8 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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