Kindly help with this question.

Thanks.

Solve the following equation for x.

-2/-3x - 7 - 3/2x - 1 = 3/2

I am assuming the usual carelessness with parentheses, and getting

-2/(-3x-7) - 3/(2x-1) = 3/2
-2*2(2x-1) - 3*2(-3x-7) = 3(-3x-7)(2x-1)
4-8x + 18x+42 = -18x^2-33x+21
18x^2+43x+25 = 0
(x+1)(18x+25) = 0
x = -1 or -25/18

Assuming a little less sloppiness, I'd read
(-2/-3)x - 7 - (3/2)x - 1 = 3/2
x = -57/5

As you typed it, however, it could easily be read as
-2/(-3x) - 7 - 3/(2x) - 1 = 3/2
x = -5/57