Answer
$x=\dfrac{10}{3}$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
3x-9=1
$, is
\begin{array}{l}
3x-9+9=1+9
\\\\
3x=10
\\\\
\dfrac{3x}{3}=\dfrac{10}{3}
\\\\
x=\dfrac{10}{3}
.\end{array}
Checking:
\begin{array}{l}
3\left( \dfrac{10}{3} \right)-9=1
\\\\
10-9=1
\\\\
1=1
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=\dfrac{10}{3}
$.
