We investigate the dynamical evolution of hierarchical three-body systems under the effect of tidal forces, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large. Using the quadrupolar non-restricted approximation, we derive the averaged equations of motion in a very simplified vectorial formalism, which is suitable to model the evolution for long-term studies of a wide variety of exoplanetary systems. In particular, it can be used to derive constraints for stellar spin-orbit misalignment, capture in Cassini states, Kozai-tidal migration, or damping of the mutual inclination.