Answer
$x=1$
Work Step by Step
Using the properties of equality, the given equation, $
\sqrt{3x+1}-2=0
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{3x+1}=2
.\end{array}
Squaring both sides of the equation above, then the solution/s is/are
\begin{array}{l}\require{cancel}
3x+1=4
\\\\
3x=4-1
\\\\
3x=3
\\\\
x=\dfrac{3}{3}
\\\\
x=1
.\end{array}
Upon checking, $
x=1
$ satisfies the original equation.