Answer:
x = 5
Step-by-step explanation:
Refer the attached image.
B is midpoint of AC
D is midpoint of CE
So,
[tex]AB=BC=CD=DE[/tex]
[tex]BD=BC+CD= AB+DE=\frac{1}{2}(AE)[/tex]
[tex](3x+5)=\frac{1}{2} (4x+20)[/tex]
Solving for 'x' we get,
[tex]3x+5=2x+10[/tex]
[tex]3x-2x=10-5[/tex]
[tex]x=5[/tex]
So the value of 'x' is 5.
