(x+23)+(x+61)=180

Solution for (x+23)+(x+61)=180 equation:

Simplifying
(x + 23) + (x + 61) = 180

Reorder the terms:
(23 + x) + (x + 61) = 180

Remove parenthesis around (23 + x)
23 + x + (x + 61) = 180

Reorder the terms:
23 + x + (61 + x) = 180

Remove parenthesis around (61 + x)
23 + x + 61 + x = 180

Reorder the terms:
23 + 61 + x + x = 180

Combine like terms: 23 + 61 = 84
84 + x + x = 180

Combine like terms: x + x = 2x
84 + 2x = 180

Solving
84 + 2x = 180

Solving for variable 'x'.

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

Add '-84' to each side of the equation.
84 + -84 + 2x = 180 + -84

Combine like terms: 84 + -84 = 0
0 + 2x = 180 + -84
2x = 180 + -84

Combine like terms: 180 + -84 = 96
2x = 96

Divide each side by '2'.
x = 48

Simplifying
x = 48