Answer
$x=1$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
9=3(5x-2)
$, is
\begin{array}{l}
9=15x-6
\\\\
9+6=15x
\\\\
15=15x
\\\\
x=\dfrac{15}{15}
\\\\
x=1
.\end{array}
CHECKING:
\begin{array}{l}
9=3(5\cdot1-2)
\\\\
9=3(5-2)
\\\\
9=3(3)
\\\\
9=9
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=1
$.
