You basically don't deal with VAT at all: charge the net amount, mention reverse charge on the invoice and you're done.

Except when selling to your own country. But there, VAT is easy.

To expand a bit on the reverse charge procedure: It means the _buyer_ pays VAT. Which makes a lot of sense in B2B, since companies need to look into what local VAT they owe anyway. Adding the reverse charge invoices to that is easy. Not to mention that if they also sell goods or services, they'll end up paying little to no VAT anyway.