Is it hard to climb from Bronze in solo queue?

This isn't going to be one of those "I don't deserve to be in Bronze" posts, because honestly I'm quite fitting where I am right now. But in the event that I do get better (hopefully), how hard is it for me to climb my way to Silver as a soloque-er? It seems with all the trolls and just bad luck in general I'll be hardsuck in the same general rank.
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