wow.......................................
I have been falsely accused of cheating

You Skype people should all watch the movie, "UNFRIENDED" and be afraid. Be VERY VERY afraid. Oh yes, there WILL be blood.

Hello, I am new to the world of chess, and I am wondering how chess players "cheat". I promise I'm not trying to do it myself haha, im just curious what people mean by that. It seems impossible, but again Im new.

They can use an engine when playing online, even OTB (that's the main reason for banning smartphones in tournament halls). A tip for OTB play: when your opponent offers his/her hand in a hopeless position, make sure he/she means resignation before shaking it.

chess.com doesn't rely solely on accusations of cheating: they have their own cheat detection methods as well. If you're not actually using a chess engine, then you won't have any problems.
I was informed that one of my skype contacts sent in a false report and fabricated proof that I was cheating. The user edited her name out of the screenshot and replaced it with my name instead.