(x+21)+(x+61)=180

Solution for (x+21)+(x+61)=180 equation:

Simplifying
(x + 21) + (x + 61) = 180

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

Remove parenthesis around (21 + x)
21 + x + (x + 61) = 180

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

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

Reorder the terms:
21 + 61 + x + x = 180

Combine like terms: 21 + 61 = 82
82 + x + x = 180

Combine like terms: x + x = 2x
82 + 2x = 180

Solving
82 + 2x = 180

Solving for variable 'x'.

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

Add '-82' to each side of the equation.
82 + -82 + 2x = 180 + -82

Combine like terms: 82 + -82 = 0
0 + 2x = 180 + -82
2x = 180 + -82

Combine like terms: 180 + -82 = 98
2x = 98

Divide each side by '2'.
x = 49

Simplifying
x = 49