What do you mean your driveway is on the opposite side. It all depends on which way you approach it. If the way you normally drive to your home puts it on the passenger side then just come in the road from the other direction. Or, go around the block or whatever you have to do.
Blind side backing up is certainly more difficult. If you don't have a spotter then stop periodically and get out and look where your trailer is.
I have to say, if this is your first time backing a trailer and it's a 40 footer you've got a lot of something, not sure what appropriate word to use.