The balance in your bank account is the amount of money you have in it.
(账户上的) 余额I'd like to check the balance in my account please. 我想查一下我账户的余额。
If you balance your books or make them balance, you prove by calculation that the amount of money you have received is equal to the amount that you have spent.
使 (账目) 平衡; (账目) 平衡