(X+45)+(X+30)+(X-20)=180

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Solution for (X+45)+(X+30)+(X-20)=180 equation: 


Simplifying
(X + 45) + (X + 30) + (X + -20) = 180

Reorder the terms:
(45 + X) + (X + 30) + (X + -20) = 180

Remove parenthesis around (45 + X)
45 + X + (X + 30) + (X + -20) = 180

Reorder the terms:
45 + X + (30 + X) + (X + -20) = 180

Remove parenthesis around (30 + X)
45 + X + 30 + X + (X + -20) = 180

Reorder the terms:
45 + X + 30 + X + (-20 + X) = 180

Remove parenthesis around (-20 + X)
45 + X + 30 + X + -20 + X = 180

Reorder the terms:
45 + 30 + -20 + X + X + X = 180

Combine like terms: 45 + 30 = 75
75 + -20 + X + X + X = 180

Combine like terms: 75 + -20 = 55
55 + X + X + X = 180

Combine like terms: X + X = 2X
55 + 2X + X = 180

Combine like terms: 2X + X = 3X
55 + 3X = 180

Solving
55 + 3X = 180

Solving for variable 'X'.

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

Add '-55' to each side of the equation.
55 + -55 + 3X = 180 + -55

Combine like terms: 55 + -55 = 0
0 + 3X = 180 + -55
3X = 180 + -55

Combine like terms: 180 + -55 = 125
3X = 125

Divide each side by '3'.
X = 41.66666667

Simplifying
X = 41.66666667

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