Answer: 
2AgNO₃ + CaCl₂ ⟶ 2AgCl + Ca(NO₃)₂ 
Explanation: 
Put a 1 in front of the most complicated-looking formula [Ca(NO₃)₂)]: 
AgNO₃ + CaCl₂ ⟶ AgCl + 1Ca(NO₃)₂ 
Balance Ca: 
Put a 1 in front of CaCl₂. 
AgNO₃ + 1CaCl₂ ⟶ AgCl + 1Ca(NO₃)₂ 
Balance N: 
Put a 2 in front of AgNO₃. 
2AgNO₃ + 1CaCl₂ ⟶ AgCl + 1Ca(NO₃)₂ 
Balance O. 
Done. 
Balance Ag. 
Put a 2 in front of AgCl. 
2AgNO₃ + 1CaCl₂ ⟶ 2AgCl + 1Ca(NO₃)₂ 
Every formula now has a coefficient. The equation should be balanced. 
——————————————— 
Check: 
Atom  On the left On the right 
 Ag 2 2 
 N 2 2 
 O 6 6 
 Ca 1 1 
 Cl 2 2 
The balanced equation is 
2AgNO₃ + CaCl₂ ⟶ 2AgCl + Ca(NO₃)₂