109-3x=5x+13

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Solution for 109-3x=5x+13 equation:


Simplifying
109 + -3x = 5x + 13

Reorder the terms:
109 + -3x = 13 + 5x

Solving
109 + -3x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
109 + -3x + -5x = 13 + 5x + -5x

Combine like terms: -3x + -5x = -8x
109 + -8x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
109 + -8x = 13 + 0
109 + -8x = 13

Add '-109' to each side of the equation.
109 + -109 + -8x = 13 + -109

Combine like terms: 109 + -109 = 0
0 + -8x = 13 + -109
-8x = 13 + -109

Combine like terms: 13 + -109 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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