If what I'm about to do bothers you, please feel free to do each step on the two inequalities:

2 > -3 - 3x and -3 - 3x >= 7

So

2 > -3 - 3x >= -7

Add 3 to all three "sides":

2 + 3 > 3 - 3 - 3x >= 3 - 7

5 > -3x >= -4

Divide all three "sides" by -3. Since we are dividing by a negative quantity, don't forget to switch the > to < and the >= to <=!

5/(-3) < -3x/(-3) <= -4/(-3)

-5/3 < x <= 4/3

-Dan