(2x-6)+(5x-13)+(2x-17)=180

Solution for (2x-6)+(5x-13)+(2x-17)=180 equation:

Simplifying
(2x + -6) + (5x + -13) + (2x + -17) = 180

Reorder the terms:
(-6 + 2x) + (5x + -13) + (2x + -17) = 180

Remove parenthesis around (-6 + 2x)
-6 + 2x + (5x + -13) + (2x + -17) = 180

Reorder the terms:
-6 + 2x + (-13 + 5x) + (2x + -17) = 180

Remove parenthesis around (-13 + 5x)
-6 + 2x + -13 + 5x + (2x + -17) = 180

Reorder the terms:
-6 + 2x + -13 + 5x + (-17 + 2x) = 180

Remove parenthesis around (-17 + 2x)
-6 + 2x + -13 + 5x + -17 + 2x = 180

Reorder the terms:
-6 + -13 + -17 + 2x + 5x + 2x = 180

Combine like terms: -6 + -13 = -19
-19 + -17 + 2x + 5x + 2x = 180

Combine like terms: -19 + -17 = -36
-36 + 2x + 5x + 2x = 180

Combine like terms: 2x + 5x = 7x
-36 + 7x + 2x = 180

Combine like terms: 7x + 2x = 9x
-36 + 9x = 180

Solving
-36 + 9x = 180

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 9x = 180 + 36

Combine like terms: -36 + 36 = 0
0 + 9x = 180 + 36
9x = 180 + 36

Combine like terms: 180 + 36 = 216
9x = 216

Divide each side by '9'.
x = 24

Simplifying
x = 24