The best opening move for 5-4 in backgammon is 24/20 13/8. Splits to a good point and brings one down. Watch it on the board, then read the idea behind it.

The idea behind the move
With 5-4 play 24/20 13/8: one back checker steps to the 20-point, and a checker from the 13-point moves safely to the 8-point.
A close second choice: 13/8 13/9.
What comes next
The checker on the 20-point can become a strong position in the back if the other back checker joins it. Watch where your opponent’s checkers are before moving it.
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.