Answer
$x=9$
Work Step by Step
Using the properties of equality, the given equation, $
\sqrt[3]{3x}+4=7
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt[3]{3x}=7-4
\\\\
\sqrt[3]{3x}=3
.\end{array}
Raising both sides of the equation above to the third power, then the solution/s is/are
\begin{array}{l}\require{cancel}
3x=27
\\\\
x=\dfrac{27}{3}
\\\\
x=9
.\end{array}