# The graph of y=lx-5l is symmetric with respect to a vertical line. What is the equation of that line?

$\textcolor{g r e e n}{x = 5}$
If $\left(x - 5\right) \ne 0$ then $\left\mid x - 5 \right\mid$ allows for two different values of $x$
(for example, if $\left(x - 5\right) = 1$ then $\left\mid x - 5 \right\mid \rightarrow x = 6 \mathmr{and} x = 4$)
If $\left(x - 5\right) = 0$ there is only one solution for $x$, namely $x = 5$