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]
(..) your code, please? Yes. Blue-two-backslash----. "D" as in David. That's right. The balance? That's impossible. They already got it, Nicholas. They got everything. You've reached the Sutherlands. Please leave a message. (..)1997 The Game