Fell down stairs, possible rib damage?

Earlier this morning I tripped down the stairs and fell face-first. Luckily, I managed to catch myself before my head hit one of the steps, but my ribs, just below the breast, hit the sharp end of our wooden steps. The pain is bad but I'm not having trouble breathing (just sudden bits of pain if I cough or sneeze). My mother will be taking me in to get an X-ray tomorrow, but is it worth it? I have a feeling I could just rest this out.