Question

Solve for x if
(3x-2)/(2x-3) =
(3x+4)/(2x+3).​

Answer 1

Answer:

(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

..

.

have a wonderful day dear ❤️

Answer 2

Answer:

(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

..

.

have a wonderful day dear ❤️

Step-by-step explanation: