Answer :
The given expression is,
[tex]\begin{gathered} \frac{6}{9}=\frac{x+2}{24} \\ \Rightarrow144=9x+18 \\ \Rightarrow9x=144-18 \\ \Rightarrow9x=126 \\ \Rightarrow x=14 \end{gathered}[/tex]Thus, the required value of x is 14.
The given expression is,
[tex]\begin{gathered} \frac{6}{9}=\frac{x+2}{24} \\ \Rightarrow144=9x+18 \\ \Rightarrow9x=144-18 \\ \Rightarrow9x=126 \\ \Rightarrow x=14 \end{gathered}[/tex]Thus, the required value of x is 14.