Justifying a general equation

Using the half-reactions for the MnO₄⁻/Mn²⁺ and Fe³⁺/Fe²⁺ pairs, explain how the overall equation for the reaction between permanganate ions (MnO₄⁻) and iron(II) ions (Fe²⁺) in an acidic medium is derived. Set out the steps in detail and check that the final equation is balanced in terms of elements and charges.