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Solve for xx:5x2−9+16=1x−3\(\displaystyle\)\(\frac{5}{x^2 - 9}\)+\(\frac{1}{6}\)=\(\frac{1}{x - 3}\)

Solve for $x$ :
$\frac{5}{x^{2} - 9} + \frac{1}{6} = \frac{1}{x - 3}$