how many solutions does 9x + 12 = 3x -6 have

Answer 1

To determine the number of solutions, we need to solve the equation.

9x + 12 = 3x - 6

First, we will combine like terms by subtracting 3x from both sides:

9x - 3x + 12 = -6

Simplifying the left side:

6x + 12 = -6

Next, we will isolate the variable x by subtracting 12 from both sides:

6x = -18

Finally, we will solve for x by dividing both sides by 6:

x = -18/6

Simplifying the right side:

x = -3

Therefore, the equation 9x + 12 = 3x - 6 has only one solution, which is x = -3.