Step-1: Write pie skeletal equation for the given reaction.
MnO4-(aq) + I-(aq) → MnO2(s) + I2(s) ...(i)
Step-2: Write the O.N. of all the elements above their respective symbols.


(ON of Mn from +7t +4 i.e., 3 unit charge) ...(ii)
I- → I20 ....(iii)
(ON of Iodine from -1 to 0 i.e., Laui's charge)
Oxidation half equation:
I-(aq) → I2(s) ...(iv)
Reduction half equation:
MnO4-(aq) → MnO2(s) ...(v)
Step-4: To balance oxidation half Eq. … (ii)
(a) Balance all atoms 2I–(aq) → I2(s) … (iv)
(b) Balance O.N. by adding electrons.
2I–(aq) → I2(s) + 2e– …(v)
Charge on either side of Eq(v) is balanced. Thus, Eq. (v) represents the balanced oxidation half equation.
Step-5: Balance the reduction half equation (iii) Balance O.N. by adding electrons.

Step-6: To balance the electrons lost in Eq. (v) and gained in Eq. (viii) Equation (v) x 3 + Equation (viii) x 2 we have,

This represents are final balanced redox equation.