Both temporary and permanent hardness is removed on boiling water with :

Temporary hardness is removed by boiling water with  $\mathrm{NaOH}$ and ${\mathrm{Na}}_2{\mathrm{CO}}_3$.

$\mathrm{Ca}{\left({\mathrm{HCO}}_3\right)}_2+2\mathrm{NaOH}\to {\mathrm{CaCO}}_3\downarrow +{\mathrm{Na}}_2{\mathrm{CO}}_3+2{\mathrm{H}}_2\mathrm{O}$ Permanent hardness is removed by boiling water with sodium carbonate.  ${\mathrm{CaCl}}_2+{\mathrm{Na}}_2{\mathrm{CO}}_3\to {\mathrm{CaCO}}_3\downarrow +2\mathrm{NaCl}$.