engine vibration while accelorating

What is your question?

There is a vibration only while accelerating. No engine lights are on. Car is smooth while coasting and/or idling. The car has 205000 miles on it.

What makes this problem better or worse?

It is constant. don't seem to matter. Hot or cold

How long has your 2007 Lexus ES350 had this problem?

1 month