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x + 7 / x - 2 = x + 4 / x - 3

(times both sides by x - 3 and x - 2)

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


x2 + 7x - 3x - 21 = x2 + 4x - 2x - 8


x2 + 4x - 21 = x2 + 2x - 8


(- x2 from both sides)


4x - 21 = 2x - 8


(- 2x from both sides)


2x - 21 = -8


(+ 21 on both sides)


2x = 13


(divide both sides by 2)


x = 6.5

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15y ago

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