5x+125=11x-13

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Solution for 5x+125=11x-13 equation:


Simplifying
5x + 125 = 11x + -13

Reorder the terms:
125 + 5x = 11x + -13

Reorder the terms:
125 + 5x = -13 + 11x

Solving
125 + 5x = -13 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
125 + 5x + -11x = -13 + 11x + -11x

Combine like terms: 5x + -11x = -6x
125 + -6x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
125 + -6x = -13 + 0
125 + -6x = -13

Add '-125' to each side of the equation.
125 + -125 + -6x = -13 + -125

Combine like terms: 125 + -125 = 0
0 + -6x = -13 + -125
-6x = -13 + -125

Combine like terms: -13 + -125 = -138
-6x = -138

Divide each side by '-6'.
x = 23

Simplifying
x = 23

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