How many solutions does the equation 9x-3 (x+8) = 6x-24

Simplifying

9x + - 3 (x + 8) = 6x + - 24

Reorder the terms:

9x + - 3 (8 + x) = 6x + - 24

9x + (8 * - 3 + x * - 3) = 6x + - 24

9x + (-24 + - 3x) = 6x + - 24

Reorder the terms:

-24 + 9x + - 3x = 6x + - 24

Combine like terms: 9x + - 3x = 6x

-24 + 6x = 6x + - 24

Reorder the terms:

-24 + 6x = - 24 + 6x

Add '24' to each side of the equation.

-24 + 24 + 6x = - 24 + 24 + 6x

Combine like terms: - 24 + 24 = 0

0 + 6x = - 24 + 24 + 6x

6x = - 24 + 24 + 6x

Combine like terms: - 24 + 24 = 0

6x = 0 + 6x

6x = 6x

Add '-6x' to each side of the equation.

6x + - 6x = 6x + - 6x

Combine like terms: 6x + - 6x = 0

0 = 6x + - 6x

Combine like terms: 6x + - 6x = 0

0 = 0

Solving

0 = 0

There is only one solution to this equation