Question

Solve for x
to determine if the equation has one, none, or infinite solutions.

9(x+1)=3(5x+1)−12


(1 point)

The equation has no solution.

The equation has one solution: x=0
.

The equation has one solution: x=3
.

The equation has infinite solutions.

Answer 1

9(x+1) = 3(5x+1) − 12
9x + 9 = 15x + 3 − 12 = 15x − 9
9x + 9 = 15x − 9
9 + 9 = 15x − 9x
18 = 6x
x = 3

The equation has one solution: x = 3.