In the given equation HCl and MnCl2 are ionic in nature while MnO2 H2O and Cl2 are non ionic nature. So the compounds with ionic nature will be written as
MnO2+4H++4Cl−=Mn2++2Cl−+2H2O+Cl2.
2Cl− ions are common on both sides; so these are cancelled. The desired ionic equation reduces to,
MnO2+4H++2Cl−=Mn2++2H2O+Cl2.