x+(x-5)+(x+20)=180

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Solution for x+(x-5)+(x+20)=180 equation:


Simplifying
x + (x + -5) + (x + 20) = 180

Reorder the terms:
x + (-5 + x) + (x + 20) = 180

Remove parenthesis around (-5 + x)
x + -5 + x + (x + 20) = 180

Reorder the terms:
x + -5 + x + (20 + x) = 180

Remove parenthesis around (20 + x)
x + -5 + x + 20 + x = 180

Reorder the terms:
-5 + 20 + x + x + x = 180

Combine like terms: -5 + 20 = 15
15 + x + x + x = 180

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

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

Solving
15 + 3x = 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 + 3x = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 180 + -15
3x = 180 + -15

Combine like terms: 180 + -15 = 165
3x = 165

Divide each side by '3'.
x = 55

Simplifying
x = 55

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