Answer
$5$
Work Step by Step
$\dfrac {1}{6}x-\dfrac {1}{12}\left( x-1\right) =\dfrac {1}{2}\Rightarrow $
$\dfrac {1}{6}x-\dfrac {1}{12}x+\dfrac {1}{12}=\dfrac {1}{2}\Rightarrow $
$\dfrac {1}{12}x=\dfrac {1}{2}-\dfrac {1}{12}=\dfrac {5}{12}\Rightarrow x=5$