bulimia becoming anorexia?

so, since i was about 12 i would make myself throw up pretty much all my food but binged so much that i sort of stayed a “normal” weight (130lbs 5’) but over the years negative comments and trauma have shaped my perception of my body and i believed and still do that i’m way too big. i stopped purging and binging but soon i started skipping meals and cal counting and restricting.. must be about 115-110lbs? i have no want for recovery because the idea of gaining weight is petrifying to me. is it common for other bulimics to become anorexic over time?