Continued...
So after the simple bore sight, fire a group as carefully as you can and then adjust the center of your group towards the center of the target.
To keep it simple, most scopes move the X-hairs 1/4" per click at 100 yards. Therefore if you were 4" left and 2" low, you require ~16 turns to the right and 8 up. I never will take all of this in one adjustment. I'd probably only go 12 and 6 and then fire another group.
Repeat.
Another thing a lot of guys believe in, is to take and give your scope a gentle tapping to "settle" the rings after any adjustment. I have no idea how much this matters...
Edit: The way you do that is right on the adjustment screw take an empty case and lightly tap the screw...
AND... for most standard calibers sight in to be 2-3" high at 100 yards.
FWIW I only fire 5-shot groups. I don't trust 3-shot groups.
Cheers, Jim.