Question

Solve :
$\frac{3x - 2}{4} - \frac{2x + 3}{3} = \frac{2}{3} - x$
​

Answer 1

Answer:

x = 2

Step-by-step explanation:

{(3x-2)÷4} - { (2x+3)÷3 } = (2/3) - x

taking LCM on LHS

taking LCM on LHSwe get

=> { (3x-2)×3 - (2x+3)×4 } ( 3×4) = (2/3) - x

=> ( 9x -6 - 8x -12 ) ÷ (12) = (2/3) - x

=> ( x-18)/12 = (2-3x)/3.....{taking LCM on RHS}

=> 3(x-18) = (2-3x)12

=> x - 18 = (2-3x)4

=> x -18 = 8 -12x

=> x + 12x = 18+8

=> 13x = 26

=> x = 26/13

=> x = 2