This work considers a design of network in which multiple transmission points (TPs) cooperatively serve users by jointly precoding shared data. Considered problem formulation jointly designs the beamformers and performs TP-UE link selection, which aims in improving overall system rate. Proposed distributed Augmented ADMM algorithm features parallelization among TPs, which has practical importance for computational load distribution and reducing signaling overhead in backhaul. This approach is different from others in literature because it solves a design problem that involves a coupling constraint which no existing algorithm is able to solve. Simulation results are also provided to show that the proposed distributed algorithm performance outperforms previously proposed distributed consensus optimization method and is comparable to its centralized counterpart.