There are many really effective ways to train, but I'd like to concentrate mainly on weightlifting and HIIT. It is recommended to lift weights at least 3 times/week with 1-2 days in between every training for maximum benefits, because your muscles need rest-time in order to develope. That being said, the best way to cut fat is to lift heavy-ass weights. You can also add HIIT to your program if you wish (google it up). As my main goal is to keep my blog-posts shorts, here's my training routine:
Back (pullups, lat-pulldowns, rows)
Shoulders (Explosive overhead press, dumbell flies)
Abs (Planks, leg raises)
Chest (Bench press, dumbell presses)
Biceps/Triceps (Hammer curls, bench press with narrow grip)
The system goes like that: Monday -A, Tuesday - rest, Wednesday - B, Thurstday - rest, Friday - A etc.
Inspirational picture of the day: