Hey there!
Al₂(SO₄)₃ + BaCl₂ → BaSO₄ + AlCl₃
First balance SO₄ since it is a polyatomic ion.
3 on the left, 1 on the right. Add a coefficient of 3 in front of BaSO₄.
Al₂(SO₄)₃ + BaCl₂ → 3BaSO₄ + AlCl₃
Balance Ba.
1 on the left, 3 on the right. Add a coefficient of 3 in front of BaCl₂.
Al₂(SO₄)₃ + 3BaCl₂ → 3BaSO₄ + AlCl₃
Balance Cl.
6 on the left, 3 on the right. Add a coefficient of 2 in front of AlCl₃.
Al₂(SO₄)₃ + 3BaCl₂ → 3BaSO₄ + 2AlCl₃
Balance Al.
2 on the left, 2 on the right. Already balanced.
Our final balanced equation:
Al₂(SO₄)₃ + 3BaCl₂ → 3BaSO₄ + 2AlCl₃
Hope this helps!