5x+89=11x-13

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Solution for 5x+89=11x-13 equation:


Simplifying
5x + 89 = 11x + -13

Reorder the terms:
89 + 5x = 11x + -13

Reorder the terms:
89 + 5x = -13 + 11x

Solving
89 + 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.
89 + 5x + -11x = -13 + 11x + -11x

Combine like terms: 5x + -11x = -6x
89 + -6x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
89 + -6x = -13 + 0
89 + -6x = -13

Add '-89' to each side of the equation.
89 + -89 + -6x = -13 + -89

Combine like terms: 89 + -89 = 0
0 + -6x = -13 + -89
-6x = -13 + -89

Combine like terms: -13 + -89 = -102
-6x = -102

Divide each side by '-6'.
x = 17

Simplifying
x = 17

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