Definition of hinge on/upon phrasal verb from the Oxford Advanced American Dictionary

 

hinge on/upon

 phrasal verb
phrasal verb
 
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Phrasal Verbs

hinge on/upon something

 
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(of an action, a result, etc.) to depend on something completely Everything hinges on the outcome of these talks. hinge on/upon how, what, etc… His success hinges on how well he does at the interview.