The Solution:
Given:
We are required to find the value of x if the perimeter is 30 miles.
[tex]Perimeter=2(3x-8)+2(6x+5)=6x-16+12x+10=30[/tex][tex]\begin{gathered} 6x+12x-6=30 \\ \\ 18x=30+6 \\ \\ 18x=36 \end{gathered}[/tex]
Divide both sides by 18.
[tex]\begin{gathered} x=\frac{36}{18}=2 \\ \\ x=2 \end{gathered}[/tex]
Therefore, the correct answer is 2.
