Why does front end of car shake while driving any speed?

Most likely, out of round or separated tire. Possibly a bent rim or badly worn CV Axle if its (FWD). Also...badly worn Front-end parts, Struts and Wheel Bearings can cause different types of Vibrations. If it is a low speed vibration/wobble it is most likely to be a bad tire or rim. Wheel balance is more of a highway speed vibration.

Those are the things you should be looking first, as tires are often neglected and over looked. Make sure you get down and look at the inside edges of the tires where you normally can't see. If badly worn on either edge, you will also need to get a Wheel Alignment done so that you don't ruin the new tires you may have to buy.