Answer:
[tex]\frac{5x - 8}{3}[/tex]
Step-by-step explanation:
Find the LCM of the denominators and then solve:
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\[/tex]
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\\frac{3(4x - 5) - 2x - 1}{6} \\\\\frac{12x - 15 - 2x - 1}{6}\\\\\frac{10x - 16}{6}\\\\ \frac{2(5x - 8)}{2 * 3} \\\\ \frac{5x - 8}{3}[/tex]