Question

(2x-3)/(3x+2)=-2/3 Solve the equation

Answer 1

your answer that is x=5/12

Answer 2

Answer:

x = 5/12

Step-by-step explanation:

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

Doing Cross multiplication

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

=> 6x - 9 = -6x - 4

=> 6x + 6x = -4 + 9

=> 12x = 5

Dividing both sides by 12

=> x = 5/12

Cross Verification :

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

= (2 * 5/12  - 3) /( 3 * 5/12 + 2)

= ( 10/12 - 3)/( 15/12 + 2)

= ( 10 - 36)/(15 + 24)

= -26/39

= - 2/3

= RHS