rational equations: solve for x.

Step-by-step explanation:
[tex]x\neq -5[/tex] and [tex]x\neq 6[/tex]
[tex]\frac{-11x}{x^{2}-x-30 }-\frac{8}{x-6}-\frac{x}{x+5}=0[/tex]
[tex]\frac{-11x}{x^{2} +5x-6x-30} -\frac{8}{x-6} -\frac{x}{x+5}=0[/tex]
[tex]\frac{-11x}{(x+5)(x-6)} -\frac{8}{x-6}-\frac{x}{x+5} =0[/tex]
[tex]-\frac{11x+8x+40+x^{2} -6x}{(x+5)(x-6)}=0[/tex]
[tex]-\frac{13x+40+x^{2} }{(x+5)(x-6)}=0[/tex]
[tex]-\frac{(x+8)(x+5)}{(x+5)(x-6)}=0[/tex]
[tex]-\frac{x+8}{x-6} =0[/tex]
[tex]x+8=0[/tex]
[tex]x = -8[/tex]
Please give me a brainliest answer