Find x

9x+3+5x-2+11x-21=180

x = 8

Step-by-step 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

Answer: x = 8

Step-by-step explanation:

Simplify: (9x+5x+11x) + (3-2-21) = 180

25x-20 = 180

25x = 200

x = 8