Answer
$x=\dfrac{16}{3}$
Work Step by Step
Using properties of equality, the given equation, $
\sqrt{3x}+1=5
$, is equivalent to
\begin{array}{l}
\sqrt{3x}=5-1
\\\\
\sqrt{3x}=4
.\end{array}
Raising both sides to the $\text{
2nd
}$ power, the solution to the equation above, $
\sqrt{3x}=4
$, is
\begin{array}{l}
3x=16
\\\\
x=\dfrac{16}{3}
.\end{array}
Upon checking, $
x=\dfrac{16}{3}
$ satisfies the given equation.