(6x-6)+(11x+33)=180

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Solution for (6x-6)+(11x+33)=180 equation:


Simplifying
(6x + -6) + (11x + 33) = 180

Reorder the terms:
(-6 + 6x) + (11x + 33) = 180

Remove parenthesis around (-6 + 6x)
-6 + 6x + (11x + 33) = 180

Reorder the terms:
-6 + 6x + (33 + 11x) = 180

Remove parenthesis around (33 + 11x)
-6 + 6x + 33 + 11x = 180

Reorder the terms:
-6 + 33 + 6x + 11x = 180

Combine like terms: -6 + 33 = 27
27 + 6x + 11x = 180

Combine like terms: 6x + 11x = 17x
27 + 17x = 180

Solving
27 + 17x = 180

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 17x = 180 + -27

Combine like terms: 27 + -27 = 0
0 + 17x = 180 + -27
17x = 180 + -27

Combine like terms: 180 + -27 = 153
17x = 153

Divide each side by '17'.
x = 9

Simplifying
x = 9

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