Question about trade-in sales tax deduction.

[aznevoviii]

I recently bought a car from Florida as an even trade with my other car.
which means, on the bill of sale, the price of the car is equal value to the trade-in of my car.

And I live in the state where we have no tax deduction (Maryland).

As of my situation,

am I responsible for the tax of my new car? or tax has been paid off from my previous car, so it should not be a problem?

I need to know this ASAP with accurate information.

Thanks

-John