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Find the value of x: (2x-1)/(x+1)=2x/(x-1)-(5/x)

  • Maths -

    cross multiply and simplify

  • Maths -

    multiply each term by x(x+1)(x-1) , the LCD

    x(x-1)(2x-1) = x(x+1)(2x) - 5(x+1)(x-1)
    x(2x^2 -3x + 1) = x(2x^2 + 2x) - 5(x^2 - 1)
    2x^3 - 3x^2 + x = 2x^3 + 2x^2 - 5x^2 + 5
    x = 5

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