Is it possible to place 158 books on three shelves so that the first shelf has 8 less books than the second and 5 more books than the third shelf?

Let
x> books in the first shelf
y> books in the second shelf
z> books in the third shelf
we know that
x+y+z=158> equation (1)
x=y-8> y=x+8 >  equation (2)
x=z+5> z=x-5  > equation (3)

 substitute (2) and (3) in (1)
x+(x+8)+(x-5)=158> 3x=155> x=51.7

the number of books in the first shelf (x=51.7) is not a whole number
therefore

the answer is
Is not possible to place the amount of 158 books in the amounts indicated in the problem