The equation has one solution and it is x = 91/30
Let's take a glimpse at the solution
[tex]6 + 9( - 3x + 9) = \frac{3}{2} (2x + 4) - 10[/tex]
[tex]6 - 27x + 81 = \frac{3}{2} \times 2(x + 2) - 10[/tex]
[tex]6 - 27x + 81 = 3(x + 2) - 10[/tex]
[tex]6 - 27x + 81 = 3x + 6 - 10[/tex]
[tex] - 27x + 81 = 3x - 10[/tex]
[tex] - 27x - 3x = - 10 - 81[/tex]
[tex] - 30x = - 91[/tex]
[tex]x = \frac{91}{30} [/tex]
