Nowadays, LTE-based femtocell technology is a promising solution offering high-speed services, enhanced indoor coverage and increased system capacity. In such multi-user wireless communication systems, intelligently allocating resources is the substantial aim towards interference mitigation and enhancing power and spectral efficiencies. In this paper, we propose a joint power and channel allocation with Adaptive Modulation and Coding (AMC) technique for downlink OFDMA-based LTE system, namely AMC-QRAP. As trade-off between distributed and centralized architectures, we consider a clustered network architecture. Users differentiation is taken into account to ensure Quality of Service (QoS) guarantee where premium High Priority HP users and best effort BE users are served by the network. Our allocation problem is resolved as an optimization model using linear programming. Extensive simulations prove that our proposal outperforms different techniques in the literature and considerably improve two previously proposed methods QP-FCRA and Q-FCRA. We consider different metrics for performance evaluation such as spectral efficiency, throughput satisfaction rate, user outage and transmission power.