Balance H2SO4+KOH->K2SO4+HOH

Shown in the pic.

Explanation:

Tips:

Treat the SO4^2- group as 1 unit so balance the SO4^-2 on both sides, since they do not become chemically altered (don't split it into S's and O's).

Balance element by element, dealing with the groups that don't change first (in this case, the SO4^2- groups), then progress to the molecules with fewer and fewer atoms, dealing last with elements/atoms.