2x-9=-x+12

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Solution for 2x-9=-x+12 equation:


Simplifying
2x + -9 = -1x + 12

Reorder the terms:
-9 + 2x = -1x + 12

Reorder the terms:
-9 + 2x = 12 + -1x

Solving
-9 + 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.
-9 + 2x + x = 12 + -1x + x

Combine like terms: 2x + x = 3x
-9 + 3x = 12 + -1x + x

Combine like terms: -1x + x = 0
-9 + 3x = 12 + 0
-9 + 3x = 12

Add '9' to each side of the equation.
-9 + 9 + 3x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 12 + 9
3x = 12 + 9

Combine like terms: 12 + 9 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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