5x+115=12x-11

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Solution for 5x+115=12x-11 equation:


Simplifying
5x + 115 = 12x + -11

Reorder the terms:
115 + 5x = 12x + -11

Reorder the terms:
115 + 5x = -11 + 12x

Solving
115 + 5x = -11 + 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.
115 + 5x + -12x = -11 + 12x + -12x

Combine like terms: 5x + -12x = -7x
115 + -7x = -11 + 12x + -12x

Combine like terms: 12x + -12x = 0
115 + -7x = -11 + 0
115 + -7x = -11

Add '-115' to each side of the equation.
115 + -115 + -7x = -11 + -115

Combine like terms: 115 + -115 = 0
0 + -7x = -11 + -115
-7x = -11 + -115

Combine like terms: -11 + -115 = -126
-7x = -126

Divide each side by '-7'.
x = 18

Simplifying
x = 18

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