(2x-5)+(x+22)=180

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Solution for (2x-5)+(x+22)=180 equation: 


Simplifying
(2x + -5) + (x + 22) = 180

Reorder the terms:
(-5 + 2x) + (x + 22) = 180

Remove parenthesis around (-5 + 2x)
-5 + 2x + (x + 22) = 180

Reorder the terms:
-5 + 2x + (22 + x) = 180

Remove parenthesis around (22 + x)
-5 + 2x + 22 + x = 180

Reorder the terms:
-5 + 22 + 2x + x = 180

Combine like terms: -5 + 22 = 17
17 + 2x + x = 180

Combine like terms: 2x + x = 3x
17 + 3x = 180

Solving
17 + 3x = 180

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 3x = 180 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 180 + -17
3x = 180 + -17

Combine like terms: 180 + -17 = 163
3x = 163

Divide each side by '3'.
x = 54.33333333

Simplifying
x = 54.33333333

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