I am not inventing this. Money in your bank is debit in _your_ accounting.
You are very welcome to treat it as positive and add. As long as you keep track of where every positive number is a credit or a debit, and you learn all the rules about which accounts to add and which ones need taking away.
Or you can just treat credits as positive numbers and debits as negative.
Literally the only 'weirdness' is that money you have put somewhere for future use (like a bank) is negative.
Your initial reaction might be "that's just nonsense and ridiculous!" But I guarantee that is how your accountant and accountancy software is storing it. Your bank balance is debit from your accounts. Legally and intuitively. The only reason it is weird is because you receive statements from the bank from their perspective (a credit because they received the money from you).
If you have made it to junior high school you are quite capable of the math. Treat debits as negative and credits as positive. No accountancy ed / special rules needed.
If you want to get it more intuitive you can think of it as: Negative numbers are money that you put somewhere and is now owed to you. If you have $1000 in 'your' account, legally that means you are $1000 down because you are owed that money by the bank. It is your debit. You have given them credit.
It may not feel like a loan because it feels like you can get the money any time you want. But loans you have given and bank accounts are both assets in your accounting. They are both debit. They are both money you have put somewhere.