Answer
$x=5$
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:
$(\sqrt[3]{6x-3})^3 = 3^3
\\6x-3=27$
Add 3 on both sides to obtain:
$6x = 27+3
\\6x=30$
Divide 6 on both sides to obtain:
$x=5$
