(2x-12)+(3x+27)=180

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Solution for (2x-12)+(3x+27)=180 equation:


Simplifying
(2x + -12) + (3x + 27) = 180

Reorder the terms:
(-12 + 2x) + (3x + 27) = 180

Remove parenthesis around (-12 + 2x)
-12 + 2x + (3x + 27) = 180

Reorder the terms:
-12 + 2x + (27 + 3x) = 180

Remove parenthesis around (27 + 3x)
-12 + 2x + 27 + 3x = 180

Reorder the terms:
-12 + 27 + 2x + 3x = 180

Combine like terms: -12 + 27 = 15
15 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
15 + 5x = 180

Solving
15 + 5x = 180

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 5x = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 180 + -15
5x = 180 + -15

Combine like terms: 180 + -15 = 165
5x = 165

Divide each side by '5'.
x = 33

Simplifying
x = 33

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