$$\\\frac{8}{3}*x-1=\frac{3}{x}-1\\\\
\frac{8x}{3}-1=\frac{3}{x}-1\\\\
\frac{8x}{3}=\frac{3}{x}\\\\
3x*\frac{8x}{3}=3x*\frac{3}{x}\\\\
8x^2=9\\\\
x^2=\frac{9}{8}\\\\
x=\pm\frac{3}{\sqrt{8}}\\\\
x=\pm\frac{3}{2\sqrt{2}}\\\\
x=\pm\frac{3\sqrt{2}}{4}\\\\$$
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