Answer:
[tex]\large\boxed{x=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
[tex]-x-1=x-2\qquad\text{add 1 to both sides}\\\\-x-1+1=x-2+1\\\\-x=x-1\qquad\text{subtract x from both sides}\\\\-x-x=x-x-1\\\\-2x=-1\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{-1}{-2}\\\\x=\dfrac{1}{2}[/tex]