Using a graph, we can estimate two solutions for the equation, which are:
x = -2.3
x = 2.8
How to solve the equation with a graph?
Here we want to solve the equation:
-2|x-1| + 3 = x-2/5x-11/5
Graphically.
To do so, we need to graph both equations in the same coordinate axis, and find the points where the graphs intercept.
So, we need to graph:
y = -2|x-1| + 3
y = x-2/5x-11/5
In the image at the end you can see the graph. There we estimate the intercepts at the values x = -2.3 and 2.8