x+(x+71)+(x-8)=180

Solution for x+(x+71)+(x-8)=180 equation:

Simplifying
x + (x + 71) + (x + -8) = 180

Reorder the terms:
x + (71 + x) + (x + -8) = 180

Remove parenthesis around (71 + x)
x + 71 + x + (x + -8) = 180

Reorder the terms:
x + 71 + x + (-8 + x) = 180

Remove parenthesis around (-8 + x)
x + 71 + x + -8 + x = 180

Reorder the terms:
71 + -8 + x + x + x = 180

Combine like terms: 71 + -8 = 63
63 + x + x + x = 180

Combine like terms: x + x = 2x
63 + 2x + x = 180

Combine like terms: 2x + x = 3x
63 + 3x = 180

Solving
63 + 3x = 180

Solving for variable 'x'.

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

Add '-63' to each side of the equation.
63 + -63 + 3x = 180 + -63

Combine like terms: 63 + -63 = 0
0 + 3x = 180 + -63
3x = 180 + -63

Combine like terms: 180 + -63 = 117
3x = 117

Divide each side by '3'.
x = 39

Simplifying
x = 39