if the statement is e is the midpoint of df what is the reason

For E to be the midpoint of DF, it needs to divide DF in 2 equal segments, DE and EF. If E is the midpoint of DF, then DE and EF are equal, so the reason is that the expressions for DE and EF are equal. The reason is:
[tex]6x+5=8x-1[/tex]