Answer
no solution
Work Step by Step
Since for any non negative $c$, $|x|=c$ implies $x=c \text{ OR } x=-c,$ then the solutions to the given equation, $
\left| \dfrac{2x-1}{3} \right|+6=3
,$ is
\begin{array}{l}\require{cancel}
\left| \dfrac{2x-1}{3} \right|=3-6
\\\\
\left| \dfrac{2x-1}{3} \right|=-3
.\end{array}
The left side of this resulting equation always results to a positive number. This will never be equal to the negative number at the left. Hence, there is $\text{
no solution
}$ to the given equation.
