(X+21)+(x+61)+(X+23)=180

Solution for (X+21)+(x+61)+(X+23)=180 equation:

Simplifying
(X + 21) + (x + 61) + (X + 23) = 180

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

Remove parenthesis around (21 + X)
21 + X + (x + 61) + (X + 23) = 180

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

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

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

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

Reorder the terms:
21 + 61 + 23 + X + X + x = 180

Combine like terms: 21 + 61 = 82
82 + 23 + X + X + x = 180

Combine like terms: 82 + 23 = 105
105 + X + X + x = 180

Combine like terms: X + X = 2X
105 + 2X + x = 180

Solving
105 + 2X + x = 180

Solving for variable 'X'.

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

Add '-105' to each side of the equation.
105 + 2X + -105 + x = 180 + -105

Reorder the terms:
105 + -105 + 2X + x = 180 + -105

Combine like terms: 105 + -105 = 0
0 + 2X + x = 180 + -105
2X + x = 180 + -105

Combine like terms: 180 + -105 = 75
2X + x = 75

Add '-1x' to each side of the equation.
2X + x + -1x = 75 + -1x

Combine like terms: x + -1x = 0
2X + 0 = 75 + -1x
2X = 75 + -1x

Divide each side by '2'.
X = 37.5 + -0.5x

Simplifying
X = 37.5 + -0.5x