I'm apparently in Math 125 and dealing with Rational functions, I already hit a brick wall. Here's the picture I attached of the problem I'm trying to simplify along with the answer that was wrong. Maybe there is something I missed?

I basically multiplied the two denominators to each side along with the numerators, did all the distributing, and combined like terms to get my simplified version.

It's been a long time. Any help would be appreciated.