"half of the difference of nine and e" can be written as
[tex]\frac{1}{2}(9-e)[/tex]and "four less than e" is
[tex]4-e[/tex]If they are the same, we can write:
[tex]\begin{gathered} \frac{1}{2}(9-e)=4-e \\ 9-e=2(4-e) \\ 9-e=8-2e \\ -e+2e=8-9 \\ e=-1 \end{gathered}[/tex]The value of e is e=-1.