Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
we know that
Points A,B,C,and D are collinear and positioned in that order
so
AD=AB+BC+CD -----> by addition segment postulate
we have
[tex]AB=2x+30\\AD=x+32\\CD=8\\BC=5[/tex]
substitute the given values and solve for x
[tex]x+32=(2x+30)+5+8[/tex]
Combine like terms right side
[tex]x+32=(2x+43)[/tex]
Group terms that contain the same variable
[tex]2x-x=32-43[/tex]
[tex]x=-11[/tex]
