First we see NO.of Cl=2 on right hanbd side,so to balance it ,we make it 2NH4Cl
So equation becomes
2NH4Cl + Ca(OH)2 = CaCl2 + NH3 + 2H2O
Now we see on LHS(left hand side) We have 2N ,but on RHS only 1N ,So to make it balanced We make it 2NH3
So equation becomes
2NH4Cl + Ca(OH)2 = CaCl2 + 2NH3 + 2H2O
Now we can see all atoms are balancedd on both sides
LHS
N=2
H=2*4+2=10
Cl=2
Ca=1
O=2
RHS
Ca=1
Cl=2
N=2
H=2*3+2*2=10
O=2