# SOLUTION: solve a proportion for x. 2x-5/x+2=3x-5/3x-1

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 Question 2644: solve a proportion for x. 2x-5/x+2=3x-5/3x-1Answer by kiru_khandelwal(79)   (Show Source): You can put this solution on YOUR website!2x-5/x+2 = 3x-5/3x-1 => (2x-5)(3x-1) = (3x-5)(x+2) => 2x(3x-1) -5(3x-1) = 3x(x+2) -5(x+2) => 6x^2 -2x -15x + 5 = 3x^2 + 6x -5x -10 => 6x^2 - 17x + 5 = 3x^2 + x - 10 => 6x^2 - 3x^2 -17x -x +5 + 10 = 0 => 3x^2 - 18x + 15 = 0 Taking 3 as common facotr => 3(x^2 - 6x + 5) = 0 => x^2 - 6x + 5 = 0 => x^2 -x -5x + 5 = 0 => x(x-1) -5(x-1) =0 => (x-5)(x-1)=0 => According to the zero product rule either x-5 =0 => x=5 or x-1=0 => x=1 so x = 5 or 1