Hi there, assuming this is in acidic conditions, then
MnO4- + H2C2O4 --> Mn2+ + CO2
Step 1: Identify atoms that change oxidation number; balance them.
MnO4 + H2C2O4 --> Mn2+ + 2CO2
Step 2: Recalculate the total number of electrons transferred and make them equal (multiply Mn by 2, C by 5 which I see you did)
2 MnO4- + 5 H2C2O4 --> 2 Mn2+ + 10 CO2
Step 3: Add H+ to balance the charge (Left: -2; Right: +4)
2 MnO4- + 5 H2C2O4 + 6 H+ --> 2Mn2+ + 10 CO2
Step 4: Add waters to balance the H
2 MnO4- + 5 H2C2O4 + 6 H+ ---> 2 Mn2+ + 10 CO2 + 8 H2O
Step 5: Check to make sure the charges on both sides are the same. (Left: +4, right: +4). Check for atoms to make sure they equal, which they do. voila!