Balance FeCl3 + MgO ---> Fe2O3 + MgCl2

The balanced equation is

Explanation:

The given reaction equation is as follows.

Here, number of atoms present on reactant side are as follows.

Number of atoms on product side are as follows.

To balance this equation, multiply by 2 and MgO by 3 on reactant side. Also, multiply by 3 on product side. Therefore, the equation can be rewritten as follows.

Hence, number of atoms on reactant side are as follows.

Number of atoms on product side are as follows.

Since, this equation contains same number of atoms on both reactant and product side. Therefore, this equation is now balanced equation.

Thus, we can conclude that the balanced equation is .