The graphs of f(x) and g(x) intersect at the point (2, -1). The intersection point is the exact point in which you have the situation:
[tex]-\frac{3}{2}x+2=3x-10[/tex]
So, it's not necessary to try and solve this equation. The x-value that makes it true is x =2.
I'll substitute in the equation:
[tex]\begin{gathered} -\frac{3}{2}\cdot2+2=3^{2}-10 \\ -3+2=9-10 \\ -1=-1 \end{gathered}[/tex]
As you can see above, the affirmation is true.
Answer: x=2
