Question

if m is the midpoint of CD, CM= 4x-5, and md=2x +5, what is x?

Answer 1

we know that

if  M is the midpoint of CD
--------------------------------------
C                  M                   D

then
CM=MD
CM=4x-5
MD=2x+5
so
4x-5=2x+5-----------> 4x-2x=5+5----------> 2x=10---------> x=5

the answer is
x=5