Here, we need to isolate the terms including x on one side and other terms on the other side.
The first step is to apply the distributive property on the left side.
[tex]\frac{3}{4}x-\frac{9}{4}=8-\frac{2}{3}x[/tex]
Now, isolate the terms containing x on one side and other terms on another side.
[tex]\frac{3}{4}x+\frac{2}{3}x=8+\frac{9}{4}[/tex]
Now, we simplify the fractions by multiplying the least common multiple of denominators, that is equal to 12, in the above equation as follows:
[tex]\begin{gathered} \frac{3}{4}x+\frac{2}{3}x=8+\frac{9}{4} \\ \Rightarrow12(\frac{3}{4}x+\frac{2}{3}x)=12(8+\frac{9}{4}) \\ \Rightarrow9x+8x=96+27 \\ \Rightarrow17x=123 \\ \Rightarrow x=\frac{123}{17} \end{gathered}[/tex]
Hence, option D is correct.
