Let's take a look at the situation:
From here, we can conclude that:
[tex]5x-8+(9x+2)=12x[/tex]Solving for x,
[tex]\begin{gathered} 5x-8+9x+2=12x \\ \rightarrow14x-6=12x \\ \rightarrow14x-12x=6 \\ \rightarrow2x=6\rightarrow x=\frac{6}{2} \\ \\ \Rightarrow x=3 \end{gathered}[/tex]Since
[tex]KL=9x+2[/tex]We'll have that
[tex]\begin{gathered} KL=9x+2\rightarrow KL=9(3)+2 \\ \Rightarrow KL=29 \end{gathered}[/tex]ANSWER: KL = 29
