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(x-4)/(2x+1)-3 can you help me with this question

Sagot :

MrRoyalidn

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]

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