Question

Can someone please help me!! I don’t understand at all
AC=x+14

AB=8

BC=2x+10

Points A,B,C are collinear. Point B is between A and C. Find x
A. 6
B.8
C.9
D. -4

Answer 1

$\bf \underset{\leftarrow \qquad \textit{\Large x+14}\qquad \to }{\stackrel{8}{\boxed{A}\rule[0.35em]{10em}{0.25pt}} B\stackrel{2x+10}{\rule[0.35em]{17em}{0.25pt}\boxed{C}}} \\\\\\ \stackrel{AC}{x+14}~~=~~\stackrel{AB}{8}+\stackrel{BC}{2x+10}\implies x+14=2x+18 \\\\\\ 14=x+18 \implies -4=x$