5 HCIIOOH + 2 KMnVIIO4 + 3 H2SO4 2 MnIISO4 + K2SO4 + 5 CIVO2 + 8 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

5 CII - 10 e- 5 CIV (oxidation)

Change the oxidation states