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

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

The equation has one solution: x=0
.
The equation has one solution: x equals 20 .

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

1 answer

9(x+1)=3(5x+1)-12

Distributing on both sides of the equation:

9x + 9 = 15x + 3 - 12

Combining like terms:

9x + 9 = 15x - 9

Subtracting 15x from both sides:

-6x + 9 = - 9

Subtracting 9 from both sides:

-6x = -18

Dividing both sides by -6:

x = 3

Therefore, the solution to the equation is x = 3. Therefore, the equation has one solution.