Answer
$x=5$
Work Step by Step
$\frac{1}{6}+\frac{x}{4}=\frac{17}{12}$
$\frac{2}{12}+\frac{3x}{12}=\frac{17}{12}$
$\frac{2}{12}-\frac{2}{12}+\frac{3x}{12}=\frac{17}{12}-\frac{2}{12}$
$\frac{3x}{12}=\frac{15}{12}$
$3x=15$
$x=5$
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