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]
(..) Slaughter them! His helmet was stifling. It narrowed his vision, and he must see far. His shield was heavy. It threw him off balance... ...and his target is far away. The old ones say we Spartans are descended from Hercules himself. Bold Leonidas gives testament to our bloodline. (..)2006 300