31x+20=12x-37

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Solution for 31x+20=12x-37 equation:


Simplifying
31x + 20 = 12x + -37

Reorder the terms:
20 + 31x = 12x + -37

Reorder the terms:
20 + 31x = -37 + 12x

Solving
20 + 31x = -37 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + 31x + -12x = -37 + 12x + -12x

Combine like terms: 31x + -12x = 19x
20 + 19x = -37 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + 19x = -37 + 0
20 + 19x = -37

Add '-20' to each side of the equation.
20 + -20 + 19x = -37 + -20

Combine like terms: 20 + -20 = 0
0 + 19x = -37 + -20
19x = -37 + -20

Combine like terms: -37 + -20 = -57
19x = -57

Divide each side by '19'.
x = -3

Simplifying
x = -3

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