Device-to-device (D2D) communication is a promising technique for traffic offloading in next-generation cellularsystems, in response to the sharp increase in traffic and unevendistribution. In this paper, in the case of meeting the user's delay, we propose a multi-hop D2D traffic offloading scheme to expand the range of traffic offloading. In consideration of the load balancing problem, we introduce load fairness of Base Stations to restraint the traffic that is offloaded to each BS. And, based on the constraints of delay and fairness, we formulate an optimization model that maximizes the range of offloading. We also proposed joint algorithm to achieve traffic offloading. And simulation results show that our scheme can further expand the range of traffic offloading under the condition of ensuring load fairness.