5x+180=12x-9

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Solution for 5x+180=12x-9 equation:


Simplifying
5x + 180 = 12x + -9

Reorder the terms:
180 + 5x = 12x + -9

Reorder the terms:
180 + 5x = -9 + 12x

Solving
180 + 5x = -9 + 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.
180 + 5x + -12x = -9 + 12x + -12x

Combine like terms: 5x + -12x = -7x
180 + -7x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
180 + -7x = -9 + 0
180 + -7x = -9

Add '-180' to each side of the equation.
180 + -180 + -7x = -9 + -180

Combine like terms: 180 + -180 = 0
0 + -7x = -9 + -180
-7x = -9 + -180

Combine like terms: -9 + -180 = -189
-7x = -189

Divide each side by '-7'.
x = 27

Simplifying
x = 27

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