Think of the trailer axles as 1 axle... even thought there is 2 axles, think of them as 1. There is a maximum weight they can haul and that's called the gross trailer weight. Moving things to the front or back of your trailer to make them even out will only change the tongue weight - tongue weight is the weight the trailer hitch presses down on the back of your truck. The tongue weight will change once you actually use it and load it and then move things IN the camper to where you want them and use them.
The trailer has a tongue weight number, but that number is the weight with nothing IN the trailer, it will change when you load the trailer. The truck has a maximum tongue weight. That weight doesn't change, it's always the most weight you can put on the hitch of the truck. Tongue weight is the weight that will actually sit on the back of your truck. Think of a seesaw at a park and your back wheels (drive axle) is the pivot point of that seesaw. Push down on the back of your truck and the front wheels (steer axle) lifts up.
A weight distribution hitch connects the truck and trailer as one unit instead of ALL of the trailer tongue weight pushing down on the back of your truck and raising up the front... it distributes that weight across the front wheels and back wheels. The dealer will set up your truck and hitch on an empty load. Once you go home and load all kinds of crap you think you need, but don't... that'll be more like your typical weight. At that point, have your hitch set up all over again and that will readjust the wight properly on your front and back wheels. There's plenty of Youtube video that'll show you how, it's not very hard.
THEN, at the end of season when you winterize it, clean it out, throw out allllll the junk you forgot you loaded, things you picked up along the way, things you never used but thought you would and it'll weigh less. By the end of season you will probably also have moved things out of your truck into the camper permanently and that will have changed the truck weight. Then at the beginning of next season load up, weigh it to make sure you don't need to redo the hitch and enjoy.
If you've never had a camper... the 1st season will be a clustefork... Don't worry about it! The reason I say you should set the hitch up after your loaded and after your first season is because you will change so much. You'll throw crap in your truck then one day get sick of loading and make a permanent spot IN the camper for it. If it makes you feel any better... my V6 RAM 1500 could pull the trailer your looking at. It's WELLLLL within all RAM 1500 HEMI compacity