Answer
Balanced equation:
$MgCl_2(aq) + 2AgNO_3(aq) --\gt Mg(NO_3)_2(aq) + 2AgCl(s)$
Reaction type: Double replacement.
Work Step by Step
$MgCl_2(aq) + AgNO_3(aq) --\gt Mg(NO_3)_2(aq) + AgCl(s)$
1. Balance the number of chlorine atoms, by putting a "2" in front of $AgCl$.
$MgCl_2(aq) + AgNO_3(aq) --\gt Mg(NO_3)_2(aq) + 2AgCl(s)$
2. Balance the number of nitrogen atoms, by putting a "2" in front of $AgNO_3$.
$MgCl_2(aq) + 2AgNO_3(aq) --\gt Mg(NO_3)_2(aq) + 2AgCl(s)$
3. Classify the reaction.
That reaction follows the pattern for a double replacement reaction.
$AB + CD --\gt AD + CB$