x+(x+10)+(x+23)=180

Solution for x+(x+10)+(x+23)=180 equation:

Simplifying
x + (x + 10) + (x + 23) = 180

Reorder the terms:
x + (10 + x) + (x + 23) = 180

Remove parenthesis around (10 + x)
x + 10 + x + (x + 23) = 180

Reorder the terms:
x + 10 + x + (23 + x) = 180

Remove parenthesis around (23 + x)
x + 10 + x + 23 + x = 180

Reorder the terms:
10 + 23 + x + x + x = 180

Combine like terms: 10 + 23 = 33
33 + x + x + x = 180

Combine like terms: x + x = 2x
33 + 2x + x = 180

Combine like terms: 2x + x = 3x
33 + 3x = 180

Solving
33 + 3x = 180

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 3x = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 3x = 180 + -33
3x = 180 + -33

Combine like terms: 180 + -33 = 147
3x = 147

Divide each side by '3'.
x = 49

Simplifying
x = 49