Question

What is the temperature at which condensation equals evaporation?

Answer 1

Well, as-written, none, because they are different phase transition directions... If you are specifically looking at the rate of condensation and the rate of evaporation, it is at the boiling point that this occurs.

By definition, condensation and evaporation are phase changes in opposite directions, and dynamic equilibrium (at constant temperature and pressure, here) is when these processes have equal rates (or really, when any reversible processes have the same rates in both directions, e.g. chemical reactions...).