Na_2CO_3(s) + color(red)(2)HCl(aq) -> color(red)(2)NaCl(aq) + H_2O(l) + CO_2(g)Na2CO3(s)+2HCl(aq)→2NaCl(aq)+H2O(l)+CO2(g)
The reasoning that you should follow in order to balance this reaction easily is:
1- Look at the NaNa. You have 22 in Na_2CO_3Na2CO3 and 11 in NaClNaCl then you should multiply NaClNaCl by color(red)(2)2.
2- When multiplying NaClNaCl by 2, we will have to ClCl in the products side, therefore, we should multiply HClHCl by color(red)(2)2.
3- Look at the carbon atom CC there is one atom at each side. No need for any action.
4- Look at the hydrogen atom HH there is 2 atoms at each side. No need for any action.
5- Look at the oxygen atom OO there is 3 atoms in Na_2CO_3Na2CO3 and there is 1 atom in H_2OH2O and 2 atoms in CO_2CO2 which makes it a total of 3 atoms. No need for any action.