Answer: The value of BD will be 50 units.
Step-by-step explanation:
Since we given that
B is the midpoint of AC and D is the midpoint of CE .
and
[tex]BD=3x+5\\\\4x+20=80[/tex]
Now, we will use the second equation, we get
[tex]4x+20=80\\\\4x=80-20\\\\4x=60\\\\x=\frac{60}{4}\\\\x=15[/tex]
So, BD will be
[tex]3x+5\\\\=3(15)+5\\\\=45+5\\\\=50[/tex]
Hence, the value of BD will be 50 units.