Balance this equation

Dear Student,
The initial equation is:
Fe₂O₃ + CO -----> Fe + CO₂
There is one Fe atom in product side and two Fe atoms in reactant side.So,multiply 2 to the Fe atom on product side.Hence equation will become:
Fe₂O₃ + CO -----> 2Fe + CO₂
Now we need to balance oxygen atoms so lets multiply CO₂ with 3.Hence the equation will become:
Fe₂O₃ + CO -----> 2Fe + 3CO₂
To balance the carbon atom,lets multiply CO with 3.Hence the final balanced equation will become:
Fe₂O₃ + 3CO -----> 2Fe + 3CO₂
Regards