Answer:
[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex]
Required
Solve
Express 3 as a fraction
[tex]\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}[/tex]
Take LCM
[tex]\frac{x - 4 - 3(2x + 1)}{3x + 1}[/tex]
[tex]\frac{x - 4 - 6x - 3}{3x + 1}[/tex]
Collect Like Terms
[tex]\frac{x - 6x- 4 - 3}{3x + 1}[/tex]
Simplify like terms
[tex]\frac{-7x- 7}{3x + 1}[/tex]
Hence:
[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]
