Please help its line segments

Step-by-step explanation:
[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]
Answer:
x=13
Step-by-step explanation:
BC = CD
6x-16 = 4x+10
Subtract 4x from each side
6x-16-4x = 4x+10-4x
2x-16 = 10
Add 16 to each side
2x-16+16 = 10+26
2x = 26
Divide by 2
2x/2 =26/2
x = 13