#### Answer

x = -3

#### Work Step by Step

$\frac{11}{2x}$+$\frac{2}{3}$=$\frac{7}{2x}$
6x($\frac{11}{2x}$+$\frac{2}{3}$)=6x$\frac{7}{2x}$
6x$\frac{11}{2x}$+6x$\frac{2}{3}$=3*7
3*11+2x*2=21
33+4x=21
4x=21-33
4x=-12
x=-3
The solution is -3
Check
Let x=-3
$\frac{11}{2x}$+$\frac{2}{3}$=$\frac{7}{2x}$
$\frac{11}{2(-3)}$+$\frac{2}{3}$=$\frac{7}{2(-3)}$
$\frac{11}{-6}$+$\frac{2}{3}$=$\frac{7}{-6}$
-$\frac{11}{6}$+$\frac{4}{6}$=-$\frac{7}{6}$
-$\frac{7}{6}$=-$\frac{7}{6}$