I couldn't either until 3 months ago( being from the 3rd world and all that), then I discovered total immersion swimming. It was my life long goal to learn to swim I am glad I finally got around to it.

Now I can swim laps( with pauses after each length).

It's worth learning. It's one thing to not like it; it's quite another to be simply unable.

Learn to float. Then learn to use your limbs to move around without a ground to push against.

Perfect! Learning to swim is never boring.

Bonus, a swimmer's physique is often rated the most attractive type. Eh? ;)