2x-6=-3x+12

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Solution for 2x-6=-3x+12 equation:


Simplifying
2x + -6 = -3x + 12

Reorder the terms:
-6 + 2x = -3x + 12

Reorder the terms:
-6 + 2x = 12 + -3x

Solving
-6 + 2x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 2x + 3x = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 5x = 12 + 0
-6 + 5x = 12

Add '6' to each side of the equation.
-6 + 6 + 5x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 12 + 6
5x = 12 + 6

Combine like terms: 12 + 6 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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