12x-109=5x-11

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Solution for 12x-109=5x-11 equation:


Simplifying
12x + -109 = 5x + -11

Reorder the terms:
-109 + 12x = 5x + -11

Reorder the terms:
-109 + 12x = -11 + 5x

Solving
-109 + 12x = -11 + 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 + 12x + -5x = -11 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-109 + 7x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-109 + 7x = -11 + 0
-109 + 7x = -11

Add '109' to each side of the equation.
-109 + 109 + 7x = -11 + 109

Combine like terms: -109 + 109 = 0
0 + 7x = -11 + 109
7x = -11 + 109

Combine like terms: -11 + 109 = 98
7x = 98

Divide each side by '7'.
x = 14

Simplifying
x = 14

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