In this paper the advances done by our research group on thermodynamic consistency tests of low and high-pressure phase equilibrium data of binary mixtures are reviewed and new applications of a versatile equation of state (EoS) to test phase equilibrium data of gases + ionic liquid mixtures are explored. The consistency method has been especially designed to analyze data sets of phase equilibrium data that do not cover the whole concentration range and relies on the accurate modelling of the data with and EoS to then apply the Gibbs-Duhem (GD) equation. The accurate and general VPT equation of state proposed in 1990 by one of the authors is employed, including modern mixing and combining rules. The proposed EoS-GD method allows analyzing experimental data and clearly determining the thermodynamic consistency or inconsistency of the data. Applications of the method by several researchers around the world are also discussed and recommendations on how to apply it to different types of mixtures is provided. (C) 2018 Elsevier Ltd.