Balance the equation
`Mg+ HNO_(3) to Mg(NO_(3))_(2) + N_(2)O + H_(2)O`

Explanation

Step-1, 2 : `overset(0)(Mg)+overset(+5)(HNO_(3)) rarr overset(+2)(Mg)overset(+5)((NO_(3))_(2))+overset(+1)(N_(2)O)+H_(2)O`

Step-4 : Mg equation is multiplied by 4 and `HNO_(3)` equation is multiplied by 2. Now,
`" "4Mg+2HNO_(3) rarr 4Mg(NO_(3))_(2)+N_(2)O+H_(2)O`
Step-5 : Balance all atoms other than O and H.
`" "4Mg+10HNO_(3) rarr 4Mg(NO_(3))_(2)+N_(2)O+H_(2)O`
Step-6 : Balance H and O by adding `H_(2)O` molecules
`" "4Mg+10HNO_(3) rarr 4Mg(NO_(3))_(2)+N_(2)O+5H_(2)O`