Answer:
From left to right:
1 3 3 1
AlCl₃ + 3AgNO₃ → 3AgCl + Al(NO₃)₃
Step-by-step explanation:
Given this skeleton (unbalanced) equation, count the number of atoms on each side (you can keep polyatomic ions together):
AlCl₃ + AgNO₃ → AgCl + Al(NO₃)₃
Al 1 Al 1
Cl 3 Cl 1
Ag 1 Ag 1
NO₃ 1 NO₃ 3
In a balanced equation, the number of each atom must be the same on both sides.
For example, Cl are not equal. The right side needs 3 times as many than it has in the skeleton. Multiply its compound by the coefficient 3.
AlCl₃ + AgNO₃ → 3AgCl + Al(NO₃)₃
Al 1 Al 1
Cl 3 Cl 3
Ag 1 Ag 3
NO₃ 1 NO₃ 3
After recounting the atoms, Ag is unequal now. Multiply the compound with Ag on the left side by 3.
AlCl₃ + 3AgNO₃ → 3AgCl + Al(NO₃)₃
Al 1 Al 1
Cl 3 Cl 3
Ag 3 Ag 3
NO₃ 3 NO₃ 3
After recounting the atoms again, they are equal on both sides, and balanced.