5x+119=12x-14

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Solution for 5x+119=12x-14 equation:


Simplifying
5x + 119 = 12x + -14

Reorder the terms:
119 + 5x = 12x + -14

Reorder the terms:
119 + 5x = -14 + 12x

Solving
119 + 5x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
119 + 5x + -12x = -14 + 12x + -12x

Combine like terms: 5x + -12x = -7x
119 + -7x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
119 + -7x = -14 + 0
119 + -7x = -14

Add '-119' to each side of the equation.
119 + -119 + -7x = -14 + -119

Combine like terms: 119 + -119 = 0
0 + -7x = -14 + -119
-7x = -14 + -119

Combine like terms: -14 + -119 = -133
-7x = -133

Divide each side by '-7'.
x = 19

Simplifying
x = 19

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