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]
(..) Don't worry. You will soon. I'm meeting an old high school friend for dinner. Please tell me she has a dick. You have no balance sheet, no income or cash flow forecast. Our yield on gross revenues are shit. Are we seriously not gonna have sex? 'Cause I kind of took a Viagra. (..)2016 TvShow: Shameless Title: Swipe, Fuck, Leave Season: 7 Episode 2