Question

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

Answer 1

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

or, (2x + 3)(3x - 2) = (2x - 3)(3x + 4)

or, 2x(3x - 2) + 3(3x - 2) = 2x(3x + 4) - 3(3x + 4)

or, 6x² - 4x + 9x - 6 = 6x² + 8x - 9x - 12

or, 6x² + 5x - 6 = 6x² - x - 12

or, 5x - 6 = -x - 12

or, 5x + x = -12 + 6

or, 6x = -6

or, x = - 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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

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

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

6x² - 4x + 9x - 6 = 6x² + 8x - 9x - 12

6x² + 5x - 6 = 6x² - x - 12

5x - 6 = -x - 12

5x + x = -12 + 6

6x = -6

x = - 1