This paper aims at clearing up misunderstandings about the distributive impacts of carbon taxes, which proved to be a decisive obstacle to their further consideration in public debates. It highlights the gap between partial equilibrium analyses, which are close to the agents' perception of the costs of taxation and general equilibrium analyses, which better capture its ultimate consequences. It shows that the real impact on households' income inequality is not mechanically determined by the initial energy budgets and their flexibilility but also depends upon the recycling modes of the tax revenues and their general equilibrium effects. The comparison of five tax-recycling schemes highlights the existence of trade-offs between maximizing tot...