2 KMnVIIO4 + 5 H2O2-I + 3 H2SO4 5 O20 + 2 MnIISO4 + K2SO4 + 8 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

10 O-I - 10 e- 10 O0 (oxidation)

Change the oxidation states