Tinder

My long term boyfriend who I have 3 kids with got into a major fight. We haven’t been communicating lately good it’s been rough to say the least and we got into it real bad and basically he said he was done. My kids are with grandparents this weekend. We aren’t in good terms now but when we talked he admitted he downloaded tinder and I asked why he said “ I really thought this was over and needed attention and to feel loved so I said fuck it I’ll talk to someone else” it really angers me. I am packing and leaving. It’s that easy?? Am I doing the right thing?