The best opening move for 6-5 in backgammon is 24/13. Runs one back checker all the way to safety. Watch it on the board, then read the idea behind it.

The idea behind the move
With 6-5, called the “lover’s leap” (shesh besh in Bulgarian), play 24/13: one back checker runs all the way with both dice to the 13-point, where you have five checkers and it is safe.
What comes next
One lone back checker remains on the 24-point. Don’t hurry to move it: wait for a roll that frees it safely or puts it next to another checker of yours.
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.