2x+12=3x-31

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Solution for 2x+12=3x-31 equation: 


Simplifying
2x + 12 = 3x + -31

Reorder the terms:
12 + 2x = 3x + -31

Reorder the terms:
12 + 2x = -31 + 3x

Solving
12 + 2x = -31 + 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.
12 + 2x + -3x = -31 + 3x + -3x

Combine like terms: 2x + -3x = -1x
12 + -1x = -31 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -1x = -31 + 0
12 + -1x = -31

Add '-12' to each side of the equation.
12 + -12 + -1x = -31 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -31 + -12
-1x = -31 + -12

Combine like terms: -31 + -12 = -43
-1x = -43

Divide each side by '-1'.
x = 43

Simplifying
x = 43

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