Solve for x

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

9(x+1)=3(5x+1)−12

Responses

A. The equation has one solution: x=3

B. The equation has one solution: x=0

C. The equation has no solution.

D. The equation has infinite solutions.

1 answer

To solve the equation, we will first simplify both sides:

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

Expanding both sides:
9x + 9 = 15x + 3 - 12

Combining like terms:
9x + 9 = 15x - 9

Now, let's isolate the x term on one side:

9x - 15x = -9 - 9

-6x = -18

Dividing both sides by -6:
x = 3

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

Therefore, the correct answer is:

A. The equation has one solution: x = 3