Question

solve 2x+3/3x+4=2x-3/3x-2 and verify the answer . please answer me fast.......

Answer 1

Answer:

x = -1

Step-by-step explanation:

By cross multiplication, we have

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

6x^2 + 5x - 6 = 6x^2 - x -12

6x = -6

x = -1

Answer 2

(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