In the question, we are given two polygons, and we are told that they are similar. Well, first, we can set up a proportion using the given sides and the side that we need to find. A suitable proportion would be [tex] \frac{2x-14}{60} = \frac{8}{24} [/tex]. Now, in order to solve for [tex]x[/tex] we cross multiply. This gives us [tex]48x-336=480[/tex]. Next, we add [tex]336[/tex] to both sides. This gives us [tex]48x=816[/tex], and when we divide both sides by [tex]48[/tex], we get that [tex]\boxed{x=17}[/tex]. Hope this helped!
