x*15-180=x*6-9

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Solution for x*15-180=x*6-9 equation:


Simplifying
x * 15 + -180 = x * 6 + -9

Reorder the terms for easier multiplication:
15x + -180 = x * 6 + -9

Reorder the terms:
-180 + 15x = x * 6 + -9

Reorder the terms for easier multiplication:
-180 + 15x = 6x + -9

Reorder the terms:
-180 + 15x = -9 + 6x

Solving
-180 + 15x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-180 + 15x + -6x = -9 + 6x + -6x

Combine like terms: 15x + -6x = 9x
-180 + 9x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-180 + 9x = -9 + 0
-180 + 9x = -9

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

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

Combine like terms: -9 + 180 = 171
9x = 171

Divide each side by '9'.
x = 19

Simplifying
x = 19

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