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]
(..) ARTHUR: No. It needs to be more unique than that. Like, this is a loaded die. No, I can't let you touch it. That would defeat the purpose. See, only I know the balance and the weight of this particular loaded die. That way, when you look at your totem... ...you know beyond a doubt that (..)2010 Inception