#### Answer

$x=1.38$

#### Work Step by Step

To solve the given equation graphically, you have to treat each side of the equation as a function.
Thus, using a graphing utility, graph the functions:
$y=2^{-x}$ (blue graph)
$y=x-1$ (the red graph)
(refer to the image below for the graph.
The point/s where the graphs intersect are the points where $2^{-x}=x-1$.
The x-coordinates of these point are the solutions to the given equation.
Note that the graphs intersect at the point $(1.383, 0.383)$.
The x-coordinates of these points are $1.383$.
Rounded-off to two decimal places, the solution to the given equation is:
$x=1.38$.