Answer:
The error is in step 4
Step-by-step explanation:
[tex]\frac{x-1}{x+4} - \frac{4x-11}{x+4}[/tex]
[tex]\frac{x-1-4x-11}{x+4}[/tex]
[tex]\frac{-3x-12}{x+4}[/tex]
In order to undo division you need to multiply
[tex]\frac{-3x-12}{x+4}[/tex] × [tex]x+4[/tex]
[tex]-3x -8 = 0[/tex]
Add 8 to both sides
[tex]-3x=8[/tex]
Undo multiplication by dividing by -3
[tex]\frac{-3x}{-3} = \frac{8}{-3}[/tex]
And your answer is
[tex]x= -2.67[/tex]