2x+3/3x+4=2x-3/3x-2 verify
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Answer:
=2x-3/ 3x-2 ×3x+4/2x+3
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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
hence, value of x = -1
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
hence, value of x = -1
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