The mandatory shielding around these rooms is robust. I shadowed a technician inspecting a newly fitted x-ray room and observed the very sensitive equipment used to verify absence of leakage. There was a small puncture in the lead shielding that was quickly found and resulted in a delay until patched.

I don't know what you mean by "around" but if you mean walking down the hallway outside the x-ray room, my guess it's the low frequency sound these machines often produce that you're reacting to and not x-rays themselves. Not to mention the almost sci-fi signage alerting your brain to danger.

And inside the shielding envelope, modern x-ray equipment is still at very low levels unless you're the patient (and even as the patient, imaging requires much lower levels than in the past).