Answer:
x = 16
Step-by-step explanation:
Simplifying
(9x + -8) + (x + 10) + (x + 2) = 180
Reorder the terms:
(-8 + 9x) + (x + 10) + (x + 2) = 180
Remove parenthesis around (-8 + 9x)
-8 + 9x + (x + 10) + (x + 2) = 180
Reorder the terms:
-8 + 9x + (10 + x) + (x + 2) = 180
Remove parenthesis around (10 + x)
-8 + 9x + 10 + x + (x + 2) = 180
Reorder the terms:
-8 + 9x + 10 + x + (2 + x) = 180
Remove parenthesis around (2 + x)
-8 + 9x + 10 + x + 2 + x = 180
Reorder the terms:
-8 + 10 + 2 + 9x + x + x = 180
Combine like terms: -8 + 10 = 2
2 + 2 + 9x + x + x = 180
Combine like terms: 2 + 2 = 4
4 + 9x + x + x = 180
Combine like terms: 9x + x = 10x
4 + 10x + x = 180
Combine like terms: 10x + x = 11x
4 + 11x = 180
Solving
4 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 11x = 180 + -4
Combine like terms: 4 + -4 = 0
0 + 11x = 180 + -4
11x = 180 + -4
Combine like terms: 180 + -4 = 176
11x = 176
Divide each side by '11'.
x = 16
Simplifying
x = 16
