5x+91=12x-14

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Solution for 5x+91=12x-14 equation:


Simplifying
5x + 91 = 12x + -14

Reorder the terms:
91 + 5x = 12x + -14

Reorder the terms:
91 + 5x = -14 + 12x

Solving
91 + 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.
91 + 5x + -12x = -14 + 12x + -12x

Combine like terms: 5x + -12x = -7x
91 + -7x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
91 + -7x = -14 + 0
91 + -7x = -14

Add '-91' to each side of the equation.
91 + -91 + -7x = -14 + -91

Combine like terms: 91 + -91 = 0
0 + -7x = -14 + -91
-7x = -14 + -91

Combine like terms: -14 + -91 = -105
-7x = -105

Divide each side by '-7'.
x = 15

Simplifying
x = 15

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