Question

1/2x-5+2/3x=7/6x+4 what is the value of x

Answer 1

1/2x-5+2/3x=7/6x+4
do you mean
1 / (2x-5) + 2 / (3x) = 7 / (6x+4) = (7/2) / (3x+2)
??????
if so multiply both sides by (2x-5)(3x)(3x+2)
(3x)(3x+2) + 2 (2x-5)(3x+2) = (7/2)(2x-5)(3x)
9 x^2 + 6 x + 2( 6x^2 - 11 x - 10) = (7/2)(6 x^2 -15 x)
9 x^2 + 12 x^2 + 6 x - 22 x - 20 = 21 x^2 - (15/2) x
21 x^2 - 16 x - 20 = 21 x^2 - (15/2)x
-16 x+ 7.5 x = 20
- 8.5 x = 20
x = -20/8.5 = - 40/17
check my arithmetic !

Answer 2

or, maybe
1/2 x - 5 + 2/3 x=7/6 x + 4
5/6 x - 5 = 7/6 x + 4
-9 = 1/3 x
x = -27

Answer 3

all kinds of possibilities :)