5x+117=15x-13

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Solution for 5x+117=15x-13 equation:


Simplifying
5x + 117 = 15x + -13

Reorder the terms:
117 + 5x = 15x + -13

Reorder the terms:
117 + 5x = -13 + 15x

Solving
117 + 5x = -13 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
117 + 5x + -15x = -13 + 15x + -15x

Combine like terms: 5x + -15x = -10x
117 + -10x = -13 + 15x + -15x

Combine like terms: 15x + -15x = 0
117 + -10x = -13 + 0
117 + -10x = -13

Add '-117' to each side of the equation.
117 + -117 + -10x = -13 + -117

Combine like terms: 117 + -117 = 0
0 + -10x = -13 + -117
-10x = -13 + -117

Combine like terms: -13 + -117 = -130
-10x = -130

Divide each side by '-10'.
x = 13

Simplifying
x = 13

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