You're asking to balance the chemical equation for the reaction between aluminum (Al) and copper(II) chloride (CuCl₂). Here's how to do it:

1. Write the Unbalanced Equation:

Al + CuCl₂ → AlCl₃ + Cu

2. Balance the Metals:

* There's one Al atom on each side, so aluminum is balanced.

* There's one Cu atom on each side, so copper is balanced.

3. Balance the Nonmetals:

* There are two Cl atoms on the left side (in CuCl₂) and three Cl atoms on the right side (in AlCl₃).

4. Adjust Coefficients:

* To balance the chlorine, we need a coefficient of 2 in front of AlCl₃ and a coefficient of 3 in front of CuCl₂:

2 Al + 3 CuCl₂ → 2 AlCl₃ + 3 Cu

5. Recheck the Balance:

* 2 Al atoms on each side

* 3 Cu atoms on each side

* 6 Cl atoms on each side

The balanced equation is:

2 Al + 3 CuCl₂ → 2 AlCl₃ + 3 Cu