You can't multiply by the denominator when solving an inequality, that is, when the denominator has a variable in it. This is because you do not know whether or not the variable will be negative (if it is, you have to switch the inequality sign).
This is what you would have to do:
What I do is as follows:
1. Draw a number line. Make points on the number line at which the fraction will equal 0 or be undefined.
2. Substitute values into the equation from each region of the number line. If, in this case, a value turns out to be less than 0, then the entire region will work. Note that x=2, and x=3 do not work, because x=3 is undefined and x=2 will cause the fraction to evaluate to 0.
3. Once you have found regions that work, those are your limitations on x.