Hi everyone My first post dont ya know.

I have read the laws that apply to flight and it talks about the air that travels over the wing creates lift because it has to travel farther than the wind under said wing.

Having said this I have been looking to graduate to my second plane and have noticed that the more sporty the planes description reads {"beginner stay away, not for beginner, If youre a beginners and buy this plane theres something wrong with you"} the more the wings are either semi or fully symmetrical.
now to the question. If the air traveling over as well as under a fully symmetrical wing the air is traveling the same distance, would this not neutralize any pressure differences, if so where does your lift come from? Or am I missing something very obvious?

Thanx for your time