You've made a few slight errors here. Let's do this step-by-step:

First, you add the 5 to both sides:

Then we subtract from both sides:

Now we find the common denominator between the two fractions, it happens to be 12:

Now, we subtract the two fractions:

Now we multiply both sides by 12:

There you go.

To verify all we do is plug in for x:

This is a true statement. Thus x does in fact equal 60.