13x-109=5x-13

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


Simplifying
13x + -109 = 5x + -13

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

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

Solving
-109 + 13x = -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 + 13x + -5x = -13 + 5x + -5x

Combine like terms: 13x + -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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