5x+39=12x-31

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Solution for 5x+39=12x-31 equation:


Simplifying
5x + 39 = 12x + -31

Reorder the terms:
39 + 5x = 12x + -31

Reorder the terms:
39 + 5x = -31 + 12x

Solving
39 + 5x = -31 + 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.
39 + 5x + -12x = -31 + 12x + -12x

Combine like terms: 5x + -12x = -7x
39 + -7x = -31 + 12x + -12x

Combine like terms: 12x + -12x = 0
39 + -7x = -31 + 0
39 + -7x = -31

Add '-39' to each side of the equation.
39 + -39 + -7x = -31 + -39

Combine like terms: 39 + -39 = 0
0 + -7x = -31 + -39
-7x = -31 + -39

Combine like terms: -31 + -39 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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