2x-6=-x+12

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


Simplifying
2x + -6 = -1x + 12

Reorder the terms:
-6 + 2x = -1x + 12

Reorder the terms:
-6 + 2x = 12 + -1x

Solving
-6 + 2x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 2x + x = 12 + -1x + x

Combine like terms: 2x + x = 3x
-6 + 3x = 12 + -1x + x

Combine like terms: -1x + x = 0
-6 + 3x = 12 + 0
-6 + 3x = 12

Add '6' to each side of the equation.
-6 + 6 + 3x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 12 + 6
3x = 12 + 6

Combine like terms: 12 + 6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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