Answer
$x=\frac{yz}{y-z}$
Work Step by Step
LCD$=xyz$, thus multiplying both sides by the LCD: $\frac{1}{x}+\frac{1}{y}=\frac{1}{z}\\yz+xz=xy\\yz=xy-xz\\yz=x(y-z)\\x=\frac{yz}{y-z}$
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