5x+120=13x-8

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Solution for 5x+120=13x-8 equation:


Simplifying
5x + 120 = 13x + -8

Reorder the terms:
120 + 5x = 13x + -8

Reorder the terms:
120 + 5x = -8 + 13x

Solving
120 + 5x = -8 + 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.
120 + 5x + -13x = -8 + 13x + -13x

Combine like terms: 5x + -13x = -8x
120 + -8x = -8 + 13x + -13x

Combine like terms: 13x + -13x = 0
120 + -8x = -8 + 0
120 + -8x = -8

Add '-120' to each side of the equation.
120 + -120 + -8x = -8 + -120

Combine like terms: 120 + -120 = 0
0 + -8x = -8 + -120
-8x = -8 + -120

Combine like terms: -8 + -120 = -128
-8x = -128

Divide each side by '-8'.
x = 16

Simplifying
x = 16

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