(X+76)+(x-19)+a=180

Solution for (X+76)+(x-19)+a=180 equation:

Simplifying
(X + 76) + (x + -19) + a = 180

Reorder the terms:
(76 + X) + (x + -19) + a = 180

Remove parenthesis around (76 + X)
76 + X + (x + -19) + a = 180

Reorder the terms:
76 + X + (-19 + x) + a = 180

Remove parenthesis around (-19 + x)
76 + X + -19 + x + a = 180

Reorder the terms:
76 + -19 + X + a + x = 180

Combine like terms: 76 + -19 = 57
57 + X + a + x = 180

Solving
57 + X + a + x = 180

Solving for variable 'X'.

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

Add '-57' to each side of the equation.
57 + X + a + -57 + x = 180 + -57

Reorder the terms:
57 + -57 + X + a + x = 180 + -57

Combine like terms: 57 + -57 = 0
0 + X + a + x = 180 + -57
X + a + x = 180 + -57

Combine like terms: 180 + -57 = 123
X + a + x = 123

Add '-1a' to each side of the equation.
X + a + -1a + x = 123 + -1a

Combine like terms: a + -1a = 0
X + 0 + x = 123 + -1a
X + x = 123 + -1a

Add '-1x' to each side of the equation.
X + x + -1x = 123 + -1a + -1x

Combine like terms: x + -1x = 0
X + 0 = 123 + -1a + -1x
X = 123 + -1a + -1x

Simplifying
X = 123 + -1a + -1x