Explanation
[tex]-\frac{1}{2}x+\frac{1}{6}=\frac{2}{3}[/tex]First we subtract 1/6
[tex]\begin{gathered} -\frac{1}{2}x=\frac{2}{3}-\frac{1}{6} \\ -\frac{1}{2}x=\frac{3}{6} \\ -\frac{1}{2}x=\frac{1}{2} \end{gathered}[/tex]Now we divide by -1/2
[tex]x=\frac{\frac{1}{2}}{-\frac{1}{2}}=-1[/tex]Answer
x=-1
