We consider the evolution equations for the bulk viscous pressure, diffusion current and shear tensor derived within the second order relativistic dissipative hydrodynamics from kinetic theory. By matching the irreducible moments of the single-particle distribution function to the dissipative quantities, we obtain relaxation-type equations featuring a number of transport coefficients, which can be calculated to arbitrary precision. In the case of hard-sphere interactions, the values of these transport coefficients are compatible with the second law of thermodynamics.