6x-109=2x-13

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Solution for 6x-109=2x-13 equation:


Simplifying
6x + -109 = 2x + -13

Reorder the terms:
-109 + 6x = 2x + -13

Reorder the terms:
-109 + 6x = -13 + 2x

Solving
-109 + 6x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-109 + 6x + -2x = -13 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-109 + 4x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-109 + 4x = -13 + 0
-109 + 4x = -13

Add '109' to each side of the equation.
-109 + 109 + 4x = -13 + 109

Combine like terms: -109 + 109 = 0
0 + 4x = -13 + 109
4x = -13 + 109

Combine like terms: -13 + 109 = 96
4x = 96

Divide each side by '4'.
x = 24

Simplifying
x = 24

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