Oddly enough, here in Denmark, which otherwise has very strong social services, dentists for adults aren't covered, though their cost is partly subsidized (dental care for children is covered).
Sweden used to be all about reaping the benefits of both capitalism and socialism, but now our gov't seems to take a perverse joy in making it a "worst of both worlds" type of country.
I would be curious to know what countries today offer what Sweden used to offer. New Zeeland? Canada? Denmark?
When I was a child (8 or 9, can't remember) I chipped my front tooth on a trampoline. All my checkups, x-rays, caps, etc., and eventually a root canal and crown were covered, even 10 years afterwards.
Children get free treatment.
Finding an NHS dentist can be tricky.