The phrase "turned account" can be interpreted in a variety of ways, but there are several synonyms that could apply depending on the context. If it refers to changing one's perspective or opinion about something, "reconsidered" or "revised" could be appropriate synonyms. If it pertains to a financial transaction, "shifted" or "transferred" might be more fitting. In a criminal justice context, "confessed" or "admitted" could be substitutes for "turned account." Ultimately, the most appropriate synonym depends on the specific usage and intended meaning of the phrase.