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Performing Mathematical Operations on Equation

Solve : x-2 x...

Question

Solve : $x - 2 x + 2 - \frac{16 x}{3} + 5 = 3 - \frac{7}{2 x}$

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Solution

$x - 2 x + 2 - \frac{16}{3 x} + 5 = 3 - \frac{7}{3 x} (x - 2 x) - (\frac{16}{3 x} - \frac{7}{2 x} = 3 - 5 - 2 (- x) - \frac{11 x}{6} = - 4 \frac{- 17}{6} x = - 4 x = \frac{24}{17}$
Hence, $x = \frac{24}{17}$

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