Answer:
[tex]x=-24[/tex]
Step-by-step explanation:
If Y is the midpoint of segment XZ, then [tex]XY=YZ[/tex].
In terms of x, XY = 2(3x +1) and and YZ = 5x – 22.
This implies that:
[tex]2(3x+1)=5x-22[/tex]
Expand the parenthesis
[tex]6x+2=5x-22[/tex]
Group similar terms to get:
[tex]6x-5x=-22-2[/tex]
[tex]x=-24[/tex]