First things first:
So our x is strictly bigger than 2.
If x = 5, we obtain 0 = 0 which is true, so 5 is one of the solutions.
So x = 5 is the only solution.
A couple of question though if it is okay. How do go from the second last step to the last one and what do you mean with impossible? You can still solve the last step of the equation and get a value of X out of that. And is it possible to just compute the equation until you get x=5?