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

1 Answer

5 votes

Answer:


((x - 4))/((2x + 1)) - 3
=
(-7x- 7)/(3x + 1)

Explanation:

Given


((x - 4))/((2x + 1)) - 3

Required

Solve

Express 3 as a fraction


((x - 4))/((2x + 1)) - (3)/(1)

Take LCM


(x - 4 - 3(2x + 1))/(3x + 1)


(x - 4 - 6x - 3)/(3x + 1)

Collect Like Terms


(x - 6x- 4 - 3)/(3x + 1)

Simplify like terms


(-7x- 7)/(3x + 1)

Hence:


((x - 4))/((2x + 1)) - 3
=
(-7x- 7)/(3x + 1)

User Rystraum
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