While much has been said of the 5 by 5 while cutting, I doubt it's your best layout.
I would do sets of 10-12. These will burn more calories, and use more slow twitch fibers. While everyone’s got a highschool crush on high twitch fibers there’s a fatal difference betweent the two that renders high twitch less effective when trimming.
—> Low twitch fibers, or type I muscle fibers are very oxidative, and dont need glycogen stores for energy. Oxidation is the process through which the body burns fat. No oxidation, no fat burn.
—> With fast twitch fibers you have two subtypes: type IIa, and type IIb. ->type IIa have good oxidative capacity as well as well as good glycogen storage and use capability, which renders them effective enough at burning fat - but only enough. ->type IIb have no oxidative capacity whatsoever. They rely exclusively on glycogen stores for energy. These muscle fibers will not burn fat.
Since your goal is to trim down I would seriously recommend you target your slow twitch fibers primarily. You do this by doing high rep sets with slightly lighter weights.
A possible scenario is you are mostly fast twitch. If this is the case, you will still need to do high reps with lighter weight. What will happen is your type IIb will develop oxidative capability by building mytochondria - in short type IIb will turn into type IIa through endurance type training.
Anything wil burn calories. The point is to target the fibers that actually have the capability to burn fat, and the faster the better (and slow twitch fibers are the masters at this). Not the ones that dont have that capabilty. Am I making any sense here?
Just before I stop rambling here, let me just say this. There is a time and place for everything. Just as slow twitch fibers, which rquire higher reps to reach fatigue, are good at burning that fat, fast twitch fibers, particularly type IIb, are the best fibers to target for building muscle. You can’t gain size with the slow twitch, and you cant trim down with the fast twitch. My point being, once you’re through with trimming down, get back to strengh training to really target those fast twitch fibers and induce some serious grouwth. Good Luck!