(x+50)+(x+100)=180

Solution for (x+50)+(x+100)=180 equation:

Simplifying
(x + 50) + (x + 100) = 180

Reorder the terms:
(50 + x) + (x + 100) = 180

Remove parenthesis around (50 + x)
50 + x + (x + 100) = 180

Reorder the terms:
50 + x + (100 + x) = 180

Remove parenthesis around (100 + x)
50 + x + 100 + x = 180

Reorder the terms:
50 + 100 + x + x = 180

Combine like terms: 50 + 100 = 150
150 + x + x = 180

Combine like terms: x + x = 2x
150 + 2x = 180

Solving
150 + 2x = 180

Solving for variable 'x'.

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

Add '-150' to each side of the equation.
150 + -150 + 2x = 180 + -150

Combine like terms: 150 + -150 = 0
0 + 2x = 180 + -150
2x = 180 + -150

Combine like terms: 180 + -150 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15