Answer:
[tex]\frac{5x-7}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6}[/tex]
Required
Express as a fraction
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6}[/tex]
Take LCM
[tex]\frac{3(4x - 5) - (2x - 1)}{6}[/tex]
Open bracket
[tex]\frac{12x - 15 - 2x + 1}{6}[/tex]
Collect like terms
[tex]\frac{12x - 2x- 15 + 1}{6}[/tex]
[tex]\frac{10x-14}{6}[/tex]
Simplify
[tex]\frac{5x-7}{3}[/tex]
