neutral, ie non-basic and non-acidic condition means that in the half reactions, you don't introduce H+ or OH- to help balance the equations. The reactions can however use H2O if necessary, and can produce OH- or H+ naturally.
for example
H2O + MnO4- + ne -> MnO2 + xOH- unbalanced
Well, you know MnO2 is one product.
You Know SO3 2- is oxidized to SO4 2-.
You know Na+ is there as an ion.
You know H is in there too. Now where can H go? It can become a H+ ion or it can combine with OH- if it finds it to form H2O. It depends on how the balanced equation adds up.
Note: although they are ions in solution like Na+, in equations they're often paired with ion counterparts, like Na+ and Cl- forms NaCl. ( a minor detail)