[tex]-\dfrac{1}{2}x+4=x+1\qquad\text{multiply both sides by 2}\\\\-x+8=2x+2\qquad\text{subtract 8 from both sides}\\\\-x=2x-6\qquad\text{subtract 2x from both sides}\\\\-3x=-6\qquad\text{divide both sides by (-3)}\\\\\boxed{x=2}[/tex]
