Is it permissible for a young man to acquire equipment for his work through funding from usurious banks that compel him to pay interest?

This falls under dealing with usury, and the permissible instances for dealing with it have been mentioned in answer number 30721. The limit that allows it is necessity. The questioner must determine whether he has reached this necessity that permits usury for him or not. If not, then usury is considered one of the major sins for him. Only the questioner himself knows this matter. And Allah knows best.