Argue (someone/something) down phrasal verb
To successfully influence someone so that they change their opinion
He flatly refused to tell me anything, but luckily I argued him down.
He is a successful salesman who has the ability to argue customers down.
To successfully bargain with others for a lower price of something
I'm hoping that I can argue the price of this house down.
What a bargain! These shoes costs $100 but I argued them down to $70.
The verb “argue" should be conjugated according to its tense.
To decide to believe someone‘s saying although they may not tell the truth
He said that he was late because he had an accident and I gave him the benefit of the doubt.