Downloading Steam games on different family laptops

I have two sons, each with his own laptop. Each of them has a Steam account.

Now when one buys a game, is it possible for the other one to download it too (without paying again)?

I have tried what they refer to as 'Family Library Sharing' but it seems to be for several accounts on the same computer. I've also tried adding a computer to Manage other computers but can't find how to do that either.

I would imagine this is a straightforward issue but can't work it out...

What's the deal?

Thanks a lot :)

You were on the right track.

Simply login to all your accounts on each machine and enable Family Sharing for them.

This way everyone will be able to play (almost) any game as long as the owner isn't actively playing anything (on Steam).

E.g. any of your sons may play any of your games as long as you're not playing anything.