Answer
$\frac{6x+5}{24}$
Work Step by Step
First, we find the least common multiple of the denominators of the two fractions. This, upon inspection, is found to be $24$. Then, we use the least common multiple to create a common denominator, allowing us to subtract the fractions:
$\frac{3x-1}{6}-\frac{2x-3}{8}$
=$\frac{4(3x-1)-3(2x-3)}{24}$
=$\frac{12x-4-6x+9}{24}$
=$\frac{12x-6x-4+9}{24}$
=$\frac{6x+5}{24}$
