Answer:
x = 8
Explanation:
Simplifying
(9x + 3) + (5x + -2) + (11x + -21) = 180
Reorder the terms:
(3 + 9x) + (5x + -2) + (11x + -21) = 180
Remove parenthesis around (3 + 9x)
3 + 9x + (5x + -2) + (11x + -21) = 180
Reorder the terms:
3 + 9x + (-2 + 5x) + (11x + -21) = 180
Remove parenthesis around (-2 + 5x)
3 + 9x + -2 + 5x + (11x + -21) = 180
Reorder the terms:
3 + 9x + -2 + 5x + (-21 + 11x) = 180
Remove parenthesis around (-21 + 11x)
3 + 9x + -2 + 5x + -21 + 11x = 180
Reorder the terms:
3 + -2 + -21 + 9x + 5x + 11x = 180
Combine like terms: 3 + -2 = 1
1 + -21 + 9x + 5x + 11x = 180
Combine like terms: 1 + -21 = -20
-20 + 9x + 5x + 11x = 180
Combine like terms: 9x + 5x = 14x
-20 + 14x + 11x = 180
Combine like terms: 14x + 11x = 25x
-20 + 25x = 180
Solving
-20 + 25x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 25x = 180 + 20
Combine like terms: -20 + 20 = 0
0 + 25x = 180 + 20
25x = 180 + 20
Combine like terms: 180 + 20 = 200
25x = 200
Divide each side by '25'.
x = 8