Unbalanced Equation:

BaCl₂ + K₂SO₄ → BaSO₄ + KCl

Balancing the Equation:

1. Start with the most complex compound: In this case, it's BaSO₄. There's one Ba, one S, and four O atoms on the product side. We need to match that on the reactant side.

2. Balance Ba: There's one Ba atom on each side, so it's already balanced.

3. Balance S: There's one S atom on each side, so it's already balanced.

4. Balance O: There are four O atoms on each side, so it's already balanced.

5. Balance K: There are two K atoms on the reactant side and only one on the product side. Add a coefficient of 2 in front of KCl.

6. Balance Cl: There are two Cl atoms on the reactant side and now two on the product side thanks to the coefficient added in the previous step.

Balanced Equation:

BaCl₂ + K₂SO₄ → BaSO₄ + 2KCl