8/3x-1=3/x-1

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