To balance a reaction, we can use the 'n factor' method.
Steps-
1- Find the n factor of the reactant sides
2- Cross multiply with the reactant.
3- Balance no. of oxygens and hydrogen in both reactant and product side by using H2O.
4- Balance charge on both sides.
(Note- Do Step 3 and 4 together.)
You can refer to books of "Cengage- physical chemistry".
Question- MnO4 ^ (-1) + C2O4 ^ (2-) ------------> Mn^ (+2) + CO2
Sol- Step 1- n=5 n=2
Step 2- 2MnO4 ^ (-1) + 5C2O4 ^ (2-) ------------> Mn^ (+2) + CO2 (CROSS MULTIPLY)
Step- 3 and 4 - 16H^ (+) + 2MnO4 ^ (-1) + 5C2O4 ^ (2-) ------------> 2Mn^ (+2) + 10CO2 + 8H2O.
which is the requied equation.
Que- Balance the following reaction.
K2Cr2O7 + 14HCl ---------> KCl + CrCl3 + Cl2
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