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]
(..) Wake him up. Wake. Who the hell are you guys? The entire time I knew Thanos, he only ever had one goal. To bring balance to the universe by wiping out half of all life. He used to kill people planet by planet, (..)2018 Avengers: Infinity War
(..) You may think this is suffering. No. It is salvation. Universal scales tip toward balance because of your sacrifice. Smile. For even in death, you have become Children of Thanos. (..)2018 Avengers: Infinity War