Silver carbonate is a water-insoluble solid silver salt; in the chemical equation, will be represented by Ag2CO3(s)
Hydrochloric acid is an aqueous solution of HCl where most of the HCl is in the ionized form; in the chemical equation will be represented by H^+(aq) and Cl^-(aq)
H^+ (hydrochloric acid proton) will react with CO3^2-(carbonate ion of silver carbonate) to give H2O(l) (liquid water) and CO2(g) (carbon dioxide gas)
Ag^+(aq) (silver ion) and Cl^-(aq) (chloride ion) will combine as AgCl(s) (solid silver chloride) which will precipitate from aqueous solution.
The complete balanced ionic equation is
Ag2CO3(s) + 2 H^+(aq) + 2 Cl^-(aq) —> 2 AgCl(s) + H2O(l) + CO2(g)
Which is also the net ionic equation