6x+39=13x-31

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Solution for 6x+39=13x-31 equation:


Simplifying
6x + 39 = 13x + -31

Reorder the terms:
39 + 6x = 13x + -31

Reorder the terms:
39 + 6x = -31 + 13x

Solving
39 + 6x = -31 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
39 + 6x + -13x = -31 + 13x + -13x

Combine like terms: 6x + -13x = -7x
39 + -7x = -31 + 13x + -13x

Combine like terms: 13x + -13x = 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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