Solution:
X+7 -8x/3 = 17/6 – 5x/2
X+7 -8x/3 +5x/2= 17/6
[ Transposing 5x/2 to L.H.S]
LCM of the denominators 2, 3 is 6.
[6(x+7)- 2(8x)+3(5x)]/6=17/6
6x+42-16x+15x=6× (17/6)
6x -16x+15x+42= 17
-10x+15x=17-42
[Transposing 42 to R.H.S]
5x= -25
x= -25/5
X= -5