Answer
$x=-1$, or, in general form, $x+1=0$
Work Step by Step
Through $(-1,2);$ parallel to the line $x=5$
A point through which the line passes and the fact that the line is parallel to the line $x=5$ are known.
Since the line whose equation must be found is parallel to the line $x=5$, then the first line is completely vertical and its equation can be represented just by making $x$ equal to the $x$ coordinate of some known point through which the line passes.
The equation of the line is:
$x=-1$, or, in general form, $x+1=0$