The best opening move for 3-2 in backgammon is 24/21 13/11. Splits and adds a builder. Watch it on the board, then read the idea behind it.
The idea behind the move
With 3-2 play 24/21 13/11: one back checker shifts to the 21-point, and a checker from the 13-point comes down to the 11-point.
A close second choice: 13/10 13/11.
What comes next
The back checker on the 21-point is harder to block, and the checker on the 11-point builds toward the 5-point. Wait for a roll that makes a point.
How to read the move
A move like 24/18 means one checker goes from your 24-point to your 18-point. Points are counted from your side: 24 is the farthest, 1 is the deepest in your home board. “(2)” after a move means you play it with two checkers.