Analog vs Digital Confusion

Thinking about adding Analog to my system, specifically a Turntable, budget is about 5K but I'm having some second thoughts and I'm hoping someone can help, specifically, how can the record sound better? Scenario; an album is released in both CD and Record, the recording is DDD mixed, mastered, etc in the digital domain. It seems to me that to make the master record the process would involve taking the digital recoding and adding an additional D/A process to cut the record? So, bottom line, how can the record sound better than the CD played on compitent CDP?