Answer
$$x=5$$
Work Step by Step
$$\frac{1}{6}x-\frac{1}{12}(x-1)=\frac{1}{2}$$
$$12(\frac{1}{6}x-\frac{1}{12}(x-1))=12(\frac{1}{2})$$
$$2x-(x-1)=6$$
$$2x-x+1=6$$
$$x=5$$
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