#### Answer

The solution is $\frac{103}{6}$

#### Work Step by Step

$\frac{6}{11}$=$\frac{27}{3x-2}$
6(3x-2)=11*27
18x-12=297
18x=309
x=$\frac{309}{18}$
x=$\frac{103}{6}$
Check the solution
$\frac{6}{11}$=$\frac{27}{3x-2}$
$\frac{6}{11}$=$\frac{27}{3*\frac{103}{6}-2}$
6(3*$\frac{103}{6}$-2)=11*27
3*103-6*2=297
297=297