If someone tags you in a photo you can untag it, if you think it is not a good photo and want it gone all off facebook then just report it, the person does not get into trouble they just(facebook team) remove the photo.
Mixing a biz Facebook with a private life one is just silly and asking for trouble..lol I have everything private and I will not add anyone to my friends list that I don’t think is safe, you can also set the privacy on certain people and allow them to see only certain things..