tyre balancing problems

Are you getting a vibration from the front ? It would effect the whole front end so you should feel it on both left and right hands. Normally if it is out of balance it is only at certain speeds or up to a certain speed ( unless it's really bad)
You should feel if it is the front tyre.
If it is a high frequency vibration then it's most likely the bike engine..normally the throttle hand is dampened by the gap in the throttle from serious vibration. I normally find its my left hand that feels it more than my right. Due to the grip being directly in contact with the handle bar.
What bike do you have, how long have you had the Bike? Has this only just started happening?
Think more information would help people make an assumption .