someone or something (with something ) (for something ) to outfit someone or something with something for something; to provide equipment for someone or something for some purpose. We equipped everyone with a spade for digging.They equipped the rescuers with equipment for any conceivable occurrence.
equip something with something
to add a piece of equipment to something. We will equip our truck with a plow blade and plow snow this winter.This car is equipped with air-conditioning.