The balanced equation is MgCl₂ +2AgNO₃ ⟶ 2AgCl + Mg(NO₃)₂
<em>Step 1</em>. Start with the most complicated-looking formula [Mg(NO₃)₂].
Put a 1 in front of it and balance its atoms.
MgCl₂ +AgNO₃ ⟶ AgCl + <u>1</u>Mg(NO₃)₂
<em>Step 2</em>. Balance Mg.
<u>1</u>MgCl₂ +AgNO₃ ⟶ AgCl + <u>1</u>Mg(NO₃)₂
Already balanced —1 atom each side.
<em>Step 3</em>. Balance N.
We have 2 N on the right-hand side and 1 N on the left. We need 2 N on the left. Put a 2 in front of AgNO₃.
<u>1</u>MgCl₂ +<u>2</u>AgNO₃ ⟶ AgCl + <u>1</u>Mg(NO₃)₂
<em>Step 4</em>: Balance O
Done. We have 6 O on the left and 6 O on the right.
<em>Step 5</em>. Balance Ag.
We have 2 Ag on the left, so we need 2 Ag on the right. Put a 2 in front of AgCl.
<u>1</u>MgCl₂ +<u>2</u>AgNO₃ ⟶ <u>2</u>AgCl + 1Mg(NO₃)₂
The balanced equation is
MgCl₂ +2AgNO₃ ⟶ 2AgCl + Mg(NO₃)₂