(x)+(x+78)+(x-9)=180

Solution for (x)+(x+78)+(x-9)=180 equation:

Simplifying
(x) + (x + 78) + (x + -9) = 180
x + (x + 78) + (x + -9) = 180

Reorder the terms:
x + (78 + x) + (x + -9) = 180

Remove parenthesis around (78 + x)
x + 78 + x + (x + -9) = 180

Reorder the terms:
x + 78 + x + (-9 + x) = 180

Remove parenthesis around (-9 + x)
x + 78 + x + -9 + x = 180

Reorder the terms:
78 + -9 + x + x + x = 180

Combine like terms: 78 + -9 = 69
69 + x + x + x = 180

Combine like terms: x + x = 2x
69 + 2x + x = 180

Combine like terms: 2x + x = 3x
69 + 3x = 180

Solving
69 + 3x = 180

Solving for variable 'x'.

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

Add '-69' to each side of the equation.
69 + -69 + 3x = 180 + -69

Combine like terms: 69 + -69 = 0
0 + 3x = 180 + -69
3x = 180 + -69

Combine like terms: 180 + -69 = 111
3x = 111

Divide each side by '3'.
x = 37

Simplifying
x = 37