solve (2x+3)/(x-4) - (2x-8)/(2x+1) = 1 leave answer in fraction form

times both sides by both denominators

= (2x+3)(2x+1) - (2x-8)(x-4) = (2x+1)(x-4)

times out brackets

= (4x2 + 8x +3) - (2x2 -16x +32) = 2x2 -7x -4

simplify

= 2x2 +24x -29 = 2x2 -7x -4 

bring x's to one side 

= 31x = 25

solve for x

x= 25/31

Answered by Amber H. Maths tutor

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