Answer
$x=10
$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
5x-9=41
$, is
\begin{array}{l}
5x-9+9=41+9
\\\\
5x=50
\\\\
\dfrac{5x}{5}=\dfrac{50}{5}
\\\\
x=10
.\end{array}
Checking:
\begin{array}{l}
5(10)-9=41
\\\\
50-9=41
\\\\
41=41
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=10
$.
