If x + 1/x = 5 , then 2x3x^2 - 5x + 3 is equal to?

Answer: Option B

$$\begin{array}{rl}& x+\frac{1}{x}=5\\ & \therefore \frac{2x}{3x^2-5x+3}\left(\text{Divide by }x\right)\\ & =\frac{\frac{2x}{x}}{\frac{3x^2}{x}-\frac{5x}{x}+\frac{3}{x}}\\ & =\frac{2}{3x+\frac{3}{x}-5}\\ & =\frac{2}{3\left(x+\frac{1}{x}\right)-5}\\ & =\frac{2}{3\times 5-5}\\ & =\frac{2}{10}\\ & =\frac{1}{5}\end{array}$$