Answer
$2AgNO_3(aq)+Na_2CO_3(aq)\rightarrow $ $Ag_2CO_3(s)+2NaNO_3(aq)$
Work Step by Step
$AgNO_3(aq)+Na_2CO_3(aq)\rightarrow $ $Ag_2CO_3(s)+NaNO_3(aq)$
Add a coefficient of 2 to $AgNO_3$ to balance $Ag$.
Add a coefficient of 2 to $NaNO_3$ to balance $Na$.
$2AgNO_3(aq)+Na_2CO_3(aq)\rightarrow $ $Ag_2CO_3(s)+2NaNO_3(aq)$