#### Answer

$x=8$

#### Work Step by Step

RECALL:
For any real number $a$,
$(\sqrt[3]{a})^3=a$
Cube both sides then use the rule above to simplify:
$(\sqrt[3]{2x+11})^3 = 3^3
\\2x+11=27$
Subtract 11 on both sides to obtain:
$2x = 27-11
\\2x=16$
Divide 2 on both sides to obtain:
$x=8$