Question 177008
2/3 - 3/x = 1/(x-6)

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2x(x-6) - 3*3(x-6) = 3x

2x^2 - 12x - 9x + 54 = 3x

2x^2 -24x + 54  = 0

x^2 -12x + 27 = 0

x^2 -3x -9x + 27 = 0

x(x-3) - 9(x-3) = 0

(x-3)(x-9) = 0
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x = 3 or x = 9
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Cheers,
Stan H.