Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]
Cross-multiply and solve:
[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].
