Answer :
[tex]x=-3[/tex]
1) The way to tackle this expression is to apply the Distributive Property, a.k.a by the acronym FOIL
2) So, we can write down the following development:
[tex]\begin{gathered} \frac{3}{4}(x-13)=-2(9+x) \\ \frac{3}{4}x-\frac{39}{4}=-18-2x \\ \frac{3}{4}x+2x=-18+\frac{39}{4} \\ \frac{3}{4}x+\frac{8}{4}x=-\frac{72}{4}+\frac{39}{4} \\ \frac{11}{4}x=-\frac{33}{4} \\ 4\times\frac{11}{4}x=-\frac{33}{4}\times4 \\ 11x=-33 \\ \frac{11x}{11}=-\frac{33}{11} \\ x=-3 \end{gathered}[/tex]Note that we have distributed the factors over the parentheses and then we rewrote those whole numbers as fractions.
Thus, the answer is x=-3