5x+39=13x-57

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Solution for 5x+39=13x-57 equation:


Simplifying
5x + 39 = 13x + -57

Reorder the terms:
39 + 5x = 13x + -57

Reorder the terms:
39 + 5x = -57 + 13x

Solving
39 + 5x = -57 + 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 + 5x + -13x = -57 + 13x + -13x

Combine like terms: 5x + -13x = -8x
39 + -8x = -57 + 13x + -13x

Combine like terms: 13x + -13x = 0
39 + -8x = -57 + 0
39 + -8x = -57

Add '-39' to each side of the equation.
39 + -39 + -8x = -57 + -39

Combine like terms: 39 + -39 = 0
0 + -8x = -57 + -39
-8x = -57 + -39

Combine like terms: -57 + -39 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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