Shaking not the brakes or tires maybe motor mount
I have a 2000 Mitsubishi Galant my car has been shaking for a while. I took it to the shop got new tires, had them rebalance them twice to make sure, they said it's my brakes. I got all new brakes, and when I got on the highway to go home I ran into traffic and had to slow down. I pressed the brakes and my whole car shook. It seems worse when doing over 50. When over 50 it shakes a little but when I hit the brakes it's worse. I was wondering could a worn out motor mount cause this? When I first got the car I took it to the shop and they said my Transmission motor mount was going bad. It's not missing pieces but it is a little skwishy. (however you spell that) God please help me.