Argh...this seems so simple but I can't seem to progress beyond the first step. I am to simplify:

I am trying to isolate x.

The answer is given as:

but I can't see how they got there.

For myself, I get here:

But every path I take from here has x propagating throughout the equation or I end up canceling x via (x-1) which is wrong of course.

Many thanks in advance for any help!