Question

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Answer 1

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Answer 2

The required solution is x = 8/3

Step-by-step explanation:

The given equation is

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

or, (2x - 3) (3x + 5) = (3x - 1) (2x - 1)

or, 6x² + 10x - 9x - 15 = 6x² - 3x - 2x + 1

or, 6x² + x - 15 = 6x² - 5x + 1

or, 6x² + x - 15 - 6x² + 5x - 1 = 0

or, (6 - 6) x² + (1 + 5) x + (- 15 - 1) = 0

or, 0.x² + 6x - 16 = 0

or, 6x - 16 = 0

or, 6x = 16

or, x = 16/6

or, x = 8/3

Therefore the required solution is x = 8/3