The +5 Extra Moves booster gives 5 additional moves to the game when activated while you are playing a level. This booster can be activated only once per game, however, when you fail a level, you can use it again, but by buying it. If you fail the level again, the game offers you to buy the booster with another additional booster, but increasingly expensive, you can do this every time you want.
The +3 Extra Moves booster gives 3 additional moves to the game when activated. This booster is activated before you play the game (like Coconut Wheel, Extra Time, etc). The only way to get this booster is to receive it as a gift from a friend when you are stuck at a level for at least 2 days.