(6x+3)+(9x-33)=180

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Solution for (6x+3)+(9x-33)=180 equation:


Simplifying
(6x + 3) + (9x + -33) = 180

Reorder the terms:
(3 + 6x) + (9x + -33) = 180

Remove parenthesis around (3 + 6x)
3 + 6x + (9x + -33) = 180

Reorder the terms:
3 + 6x + (-33 + 9x) = 180

Remove parenthesis around (-33 + 9x)
3 + 6x + -33 + 9x = 180

Reorder the terms:
3 + -33 + 6x + 9x = 180

Combine like terms: 3 + -33 = -30
-30 + 6x + 9x = 180

Combine like terms: 6x + 9x = 15x
-30 + 15x = 180

Solving
-30 + 15x = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 15x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 15x = 180 + 30
15x = 180 + 30

Combine like terms: 180 + 30 = 210
15x = 210

Divide each side by '15'.
x = 14

Simplifying
x = 14

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