2x-10=3x+12

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Solution for 2x-10=3x+12 equation:


Simplifying
2x + -10 = 3x + 12

Reorder the terms:
-10 + 2x = 3x + 12

Reorder the terms:
-10 + 2x = 12 + 3x

Solving
-10 + 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.
-10 + 2x + -3x = 12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = 12 + 0
-10 + -1x = 12

Add '10' to each side of the equation.
-10 + 10 + -1x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 12 + 10
-1x = 12 + 10

Combine like terms: 12 + 10 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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