So the only way I know how to do these questions is the following:

1) Bring everything over on one side so you have:

2) Unfortunately, this part you just guess. Pick some numbers for x and see if one of them will cause the equation to become zero (for now we ignore the greater than).

I found that x=2 will work just dandy.

Use synthetic division or long division to factor x=2, that is, (x-2) out of that equation and you are left with a quadratic.

3) Factor the quadratic.

4) Investigate the invervals that are created and determine which ones will cause the inequality to be true.

For this question I got:

View this on a number line:

<----(-3)-----(2)---(3)------->

Examine x < -3, does the above give a positive or negative number, examine the next interval (i.e. -3 < x < 2) again, positive or negative number... ect..

Hope that helps