Zn + HNO3 ------ Zn(NO3)2 + NO2 + H2O please balance this in method which you have thought . But not in trail method
this is a redox reaction and you should start by writing the oxidation and reduction halves and balancing them. Zn goes from 0 to +2 and N goes from +5 to +4.. do you see that? (NO3) is -1.. O is -2.
Hence the oxidation state = +5+(3×−2)=1
NO2 is neutral. O is -2, O2 is -4.
so N is +4) anyway
Zn0⟶Zn+2+2e−
N+5+1e−⟶N+4
now balance the electrons... multiply the bottom equation by 2
Zn0⟶Zn+2+2e−
2N+5+2e−⟶2N+4
add
now fill in counter ions
Zn+2HNO3⟶Zn(NO3)2+2NO2
now fill in the remaining H2O and HNO3 and put a _ in front of them
Zn+−HNO3+2HNO3⟶Zn(NO3)2+2NO2+−H2O
now fill in the _...
Zn+2HNO3+2HNO3⟶Zn(NO3)2+2NO2+2H2O
let's check..
left side.. 1 zn, 4 H's, 4 N's, 12 O's
right side 1 Zn, 4H's, 4 N's, 12 O's
electrons. 1 Zn loses 2. 2 N's gain 2×1=2
all is well...
now simplify by adding nitric acid together and putting it in the order you wrote above...
Zn+2HNO3⟶Zn(NO3)2+2NO2+2H2O