Thanks very much for the help everyone. The problem was that I had never heard of the notion of reciprocals. After looking into them it all became clear. It really is amazing just how many ways you can manipulate expressions in mathematics. Below are the full workings.

Our initial equation:

To bring t over to the left hand side, multiply both sides by t:

This results in:

To get rid of the x on the left hand side, divide both sides by x:

This initially results in:

This is where I was stuck before, but after looking into reciprocals I understood that the expression could be rewritten as:

Thanks to the associative and commutative properties of multiplication, this can be rewritten as:

Which is the same as our end goal:

Thanks again everyone, I really appreciate your help.