5 (CIIIOOH)2 + 2 KMnVIIO4 + 3 H2SO4 2 MnIISO4 + K2SO4 + 10 CIVO2 + 8 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

10 CIII - 10 e- 10 CIV (oxidation)

Change the oxidation states