This paper will cover the adverse effects of the constantly growing fast-fashion industry within the textile industry on the environment and the challenges faced while trying to make the industry more sustainable in terms of supply chain management. This literature review critically analyses the content of over two hundred papers published in many alternative reputed journals and books spread over fifty years i.e., 1972 to 2022. This systematic literature review is designed by using the subsequent categories: year, sustainable supply chain management (SSCM), textile industry, recycling, textile industry sustainability, water waste management, and barriers. The findings from this literature that the sustainability problems have been solved in theory using multiple different methods such as linear programming problem(LPP), Decision Making Trial and Evaluation Laboratory (DEMATEL) method, life cycle assessment (LCA), etc., but implementation is difficult. The results indicate that with increasing consumer awareness, more and more opportunities are becoming available to put the problems solved in theory into practice with the help of advanced operations research techniques and better and more efficient algorithms in SCM systems.