i need the answer to this please help

Answer:
-1/11
Step-by-step explanation:
[tex]\frac{11x}{12} -\frac{1}{6} =\frac{-1}{4}[/tex] add 1/6 to both sides
[tex]\frac{11x}{12} =\frac{1}{6} -\frac{1}{4}[/tex] make the same denominator 12 on the right side
[tex]\frac{11x}{12} =\frac{1}{6}*\frac{2}{2} -\frac{1}{4}*\frac{3}{3}[/tex] solve
[tex]\frac{11x}{12} =\frac{2}{12} -\frac{3}{12} =\frac{2-3}{12} = \frac{-1}{12}[/tex]
[tex]\frac{11x}{12}*12 =\frac{-1}{12} *12[/tex] multiply by 12 both sides
11x= -1 divide by 11
x= -1/11