(3x-36)+(2x+22)=180

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Solution for (3x-36)+(2x+22)=180 equation:


Simplifying
(3x + -36) + (2x + 22) = 180

Reorder the terms:
(-36 + 3x) + (2x + 22) = 180

Remove parenthesis around (-36 + 3x)
-36 + 3x + (2x + 22) = 180

Reorder the terms:
-36 + 3x + (22 + 2x) = 180

Remove parenthesis around (22 + 2x)
-36 + 3x + 22 + 2x = 180

Reorder the terms:
-36 + 22 + 3x + 2x = 180

Combine like terms: -36 + 22 = -14
-14 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-14 + 5x = 180

Solving
-14 + 5x = 180

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 5x = 180 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 180 + 14
5x = 180 + 14

Combine like terms: 180 + 14 = 194
5x = 194

Divide each side by '5'.
x = 38.8

Simplifying
x = 38.8

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