Using setTImeout to create effect of dealing cards

Question

As my code stands right now, I can deal cards to the proper
location and move at a steady speed, but they all move at the same
time. Now, I want to add the effect of them being dealt by using
the setTimeout method to offset the times they are dealt. However,
when I call the setTimeout method, it only works on the last card
and jumps the card to its destination instead of slowly moving it
there as if it were dealt. Figure A shows my working code without
the setTimeout method, and Figure B shows my code with the
setTimeout method.
I have a hunch that it is not working either because it
overwrites the myTimeout variable that holds the setTimeout id, or
because of the this (i may need to create an empty movie clip on
the root timeline to hold the value of setTimeout) in the
setTimeout line, but I do not know why it removes my tween effect.
My motion code can be seen in FIGURE C.

Answer 1

By the way, these function are members of my TexHoldem class.
I've read a bunch of posts about how to use the setTimeout
function, but I'm not sure if I'm doing it correctly inside of a
class.
In my latest attempt, I tried creating a controller that
would hold the instances of the timeouts incase they were
overwriting themselves on the timeline, but I get the same results.
Here is that code (snippet of entire code, under if (seat >=10)
statement in distributeHoleCards function.
I've also tried to create an array which would store the
intervals so they would not be destroyed, but still no luck.