He's trying to keep his work life and his family life 'in balance'. = He's trying to keep his work life 'in balance with' his family life. [=he's trying to give a proper of amount of time and attention to both his work life and his family life]
The discount 'balances out' the shipping charge. = The discount and the shipping charge 'balance' each other 'out'. [=the shipping charge and the discount together equal zero]
He needs to achieve/create/strike a better 'balance' between his work life and his family life. [=he needs to spend less time at work and more time with his family]
(..) Are you a person of faith? - I love my daughter. - That's not what I asked. Who are you to judge? We judge because the souls of history hang in the balance. Because our faith has never failed us. Our faith keeps the darkness of hell at bay. Then use your faith (..)2006 Silent Hill