We are given the following equation:

we are asked to determine any extraneous solutions. To do that we will determine the values of "x" that solve the equation. First, we will cross multiply the equation:

Now, we can multiply by -1, we get:

Now we use the distributive property on both sides, we get:

Now, we subtract "3x" from both sides:

Now we subtract 24 from both sides:

Therefore, the solution is x = -12. The extraneous solutions are the solutions that are not in the domain of the original function.
In the domain of the original function, we have that the values of:

Would make the denominators equal to zero, and therefore, they are not in the domain. Since the solution is none of these values there are no extraneous solutions.