I agree with Herb David, 1/2" sides and back is more than strong enough for a kitchen drawer. 5/8 would be something you might make a shop drawer out of that has to pack a lot of weight.
Some, like myself, just make them on the TS where you rabbet the bottom and back and make horizontal and perpendicular grooves on the sides for the bottom and back to fit into.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.