Question

why air moves from areas of high pressure to areas of low pressure

Answer 1

Conceptually think about a car tire. The pressure inside is much higher than the pressure outside, why does the air rush outside when its punctured?

Answer 2

assume that the areas are the same for both the high and low pressure regions. Then according to Newton's second law what should happen?

Answer 3

Gasses are made of particles in motion, in higher pressure regions there is a greater density of particles. When there is a lower pressure region the particles get pushed into this place via collisions