Me and my boyfriend got into a huge argument because he thought I went through his phone?

Anonymous
Me and my boyfriend recently moved in together the day we moved in together we exchanged passwords. today while he was taking a shower I went in our closet for a few seconds to get something and went into the kitchen. as i was leaving out the room he was coming in the room to get dressed his phone was on the bed. a few seconds later he comes into the kitchen with a attitude asking me if I went through his phone I told him no. 10 minutes later he was leaving out of our apartment and told me he was about to go to his sisters house. I didn’t respond because I thought it was weird that he got mad because he thought I went through his phone and hurried up and checked to see if I went through his phone as soon as he came into the room. when I did not respond to him we got into a huge argument he almost moved out. once we stopped arguing he told me he only got as mad as he did because he's not doing anything wrong and thought I went through his phone for no reason. is this a sign that he’s cheating? Should I ask to go though his phone or just leave it alone?
Me and my boyfriend got into a huge argument because he thought I went through his phone?
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