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

9(x+1)=3(5x+1)−12

(1 point)
Responses

The equation has infinite solutions.
The equation has infinite solutions.

The equation has no solution.
The equation has no solution.

The equation has one solution: x=3.
The equation has one solution: x equals 3 .

The equation has one solution: x=0

1 answer

The equation has one solution: x=3.

To solve for x, first distribute on both sides:
9x + 9 = 15x + 3 - 12
9x + 9 = 15x - 9

Next, move all the x terms to one side:
9 = 6x - 9
18 = 6x
x = 3

Therefore, the equation has one solution: x=3.