Answer:
x=-2.531
Step-by-step explanation:
we have
[tex]-2x-3=3^{x} +2[/tex]
we can divide the expression above into two equations
[tex]y=-2x-3[/tex] --->equation A
[tex]y=3^{x} +2[/tex] ----> equation B
The solution of the original expression is the same that the x-coordinate of the intersection point both graphs
using a graphing tool
The intersection point is (-2.531,2.062)
see the attached figure
therefore
The solution is x=-2.531