Answer:
5/(3x+2) = 7/(5x-2)
<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)
<=> 25x -10 = 21x +14 (x is not equal to -3/2 or 2/5)
<=> 4x = 24 (x is not equal to -3/2 or 2/5)
<=> x = 6 (valid)
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