(x-9)+(2x+29)+(x)=180

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Solution for (x-9)+(2x+29)+(x)=180 equation: 


Simplifying
(x + -9) + (2x + 29) + (x) = 180

Reorder the terms:
(-9 + x) + (2x + 29) + (x) = 180

Remove parenthesis around (-9 + x)
-9 + x + (2x + 29) + (x) = 180

Reorder the terms:
-9 + x + (29 + 2x) + (x) = 180

Remove parenthesis around (29 + 2x)
-9 + x + 29 + 2x + (x) = 180
-9 + x + 29 + 2x + x = 180

Reorder the terms:
-9 + 29 + x + 2x + x = 180

Combine like terms: -9 + 29 = 20
20 + x + 2x + x = 180

Combine like terms: x + 2x = 3x
20 + 3x + x = 180

Combine like terms: 3x + x = 4x
20 + 4x = 180

Solving
20 + 4x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 4x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 180 + -20
4x = 180 + -20

Combine like terms: 180 + -20 = 160
4x = 160

Divide each side by '4'.
x = 40

Simplifying
x = 40

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