Did I do the right thing?

so me and my bf hav a long history. We've been together for like 2 years and we fight all the time. I broke up with him today because he got another girl to text me pretending to b a boy I used to know. He did it to see if I would ever cheat on him, which leads me to believe he doesn't trust me. I dumped him rigt thenn and there explaining to him that I can't be with him any longer because he has so little trust in me. I did not use any vulgar terms with him, I stayed cool and collected whilst explaining this. Now I am not answering his texts because I gave him an explanation and that's all I owe him. He's texting calling me inappropriate names and he's convinced I'm a cheater since I got so upset overr this. I never once thought of cheating on him and it hurts that hes convinced I would. I apoloize for how long this is and thank you for listening. Do you think I did the right thing?