You don't "accidentally" cheat, it's not a thing! You got drunk and cheated and then

>Obviously I felt guilty but I started to have feelings for the guy and have even been sexting him nudes.

You continue to cheat on him

>I know I'm in the wrong but I have feelings for the guy but don't want to break it off with my current boyfriend

You should tell you bf what you did, not because you have feeling for the other guy but to give your boyfriend a minimum respect. I mean you cheated on him, don't you have an ounce of respect for him???

>, I went to the other guys house and after we finished

Seriously, how that is not an accident, it a choice you make to be a cheater