5x+109=11x-5

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Solution for 5x+109=11x-5 equation:


Simplifying
5x + 109 = 11x + -5

Reorder the terms:
109 + 5x = 11x + -5

Reorder the terms:
109 + 5x = -5 + 11x

Solving
109 + 5x = -5 + 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.
109 + 5x + -11x = -5 + 11x + -11x

Combine like terms: 5x + -11x = -6x
109 + -6x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
109 + -6x = -5 + 0
109 + -6x = -5

Add '-109' to each side of the equation.
109 + -109 + -6x = -5 + -109

Combine like terms: 109 + -109 = 0
0 + -6x = -5 + -109
-6x = -5 + -109

Combine like terms: -5 + -109 = -114
-6x = -114

Divide each side by '-6'.
x = 19

Simplifying
x = 19

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