ANSWER:
The value that makes the equation true is 4
STEP-BY-STEP EXPLANATION:
We have the following:
[tex]\frac{3}{4}(x+8)=9[/tex]Solving for x:
[tex]\begin{gathered} 3(x+8)=9\cdot4 \\ 3x+24=36 \\ 3x=36-24 \\ x=\frac{12}{3} \\ x=4 \end{gathered}[/tex]