2001 Mitsubishi Galant my car shakes when put on drive

Have your timing belt condition checked IMMEDIATELY. My Galant was doing the same thing and I wasted $hundreds replacing motor mounts with no improvement. What happens is, the timing belt gets old and starts losing teeth, allowing the harmonic balancer to go gradually more and more out of correct position, which causes the car to shake like an off-balance washing machine. Make sure that the mechanics put your balancer back in correct position when they replace your timing belt (unlike the idiots who did mine).