Answer
$\frac{5x+2}{3x-1}$
Work Step by Step
The given expression is
$=\frac{5+\frac{2}{x}}{3-\frac{1}{x}}$
Multiply the numerator and denominator by $x$.
$=\frac{x}{x}\cdot \frac{5+\frac{2}{x}}{3-\frac{1}{x}}$
Use the distributive property.
$=\frac{x\cdot 5+x\cdot \frac{2}{x}}{x\cdot 3-x\cdot \frac{1}{x}}$
Simplify.
$=\frac{5x+2}{3x-1}$.
