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The accounting equation is an error detection tool; if at any point the sum of debits for all accounts does not equal the corresponding sum of credits for all accounts, an error has occurred.However, satisfying the equation does not guarantee that there are no errors; the ledger may still "balance" even if the wrong ledger accounts have been debited or credited.Double-entry bookkeeping was firstly pioneered by the Romans and in the Jewish community of the early-medieval Middle East.