We have to solve for x:
[tex]\frac{11}{15}x-\frac{7}{20}=-2[/tex]To solve we start by grouping the independent terms together (the terms that do not depend on x):
[tex]\begin{gathered} \frac{11}{15}x=-2+\frac{7}{20} \\ \frac{11}{15}x=\frac{-2\cdot20+7}{20} \\ \frac{11}{15}x=\frac{-40+7}{20} \\ \frac{11}{15}x=\frac{-33}{20} \end{gathered}[/tex]Now, we can multiply both sides by 15/11 in order to clear x:
[tex]\begin{gathered} \frac{11}{15}x\cdot\frac{15}{11}=-\frac{33}{20}\cdot\frac{15}{11} \\ x=-\frac{33}{11}\cdot\frac{15}{20} \\ x=-3\cdot\frac{3}{4} \\ x=-\frac{9}{4} \end{gathered}[/tex]Answer: x = -9/4
