[tex]1\dfrac{1}{4}x-5=-6\ \ \ \ \ |\text{add 5 to both sides}\\\\1\dfrac{1}{4}x=-1\ \ \ \ |\text{change the mixed number to the improper fraction}\\\\\dfrac{5}{4}x=-1\ \ \ \ |\text{multiply both sides by 4}\\\\5x=-4\ \ \ \ \ \ |\text{divide both sides by 5}\\\\\boxed{x=-\dfrac{4}{5}}[/tex]
