Please help me solve this problem 2/12x-3/12=8/12.?

1st interpretation:
2/12x - 3/12 = 8/12 multiply all items by 12
2x - 3 = 8
2x = 11
x = 11/2 or 5 1/2

Answer: x = 5 1/2 or 5.5

Proof:
2/12(5.5) - 3/12 = 8/12
1/6(5.5) - 3/12 = 2/3
5.5/6 - 3/12 = 2/3
11/12 - 3/12 = 2/3

2nd interpretation:
(2/[12x - 3])/12 = 8/12
2/(12x - 3) = 8
1/(12x - 3) = 4
48x - 12 = 1
48x = 13
x = 13/48

Answer: x = 13/48

Proof:
(2/[12[13/48] - 3])/12 = 8/12
(2/[13/4 - 12/4])/12 = 2/3
(2/[1/4])/12 = 2/3
(2[4])/12 = 2/3
8/12 = 2/3
2/3 = 2/3

2 /12x-3/12=8/12

using 12x as the lcd

2-3x=8x
2=11x
11/2=x

2/12x - 3/12 = 8/12
2/12x = 11/12
(12/2)2/12x = (12/2)11/12
x = 11/2 or 5 1/2 or 5.5.

2/12(x) - 3/12 = 8/12
1/6(x) - 1/4 = 2/3
12(x/6 - 1/4) = 12(2/3)
12x/6 - 12/4 = 24/3
2x - 3 = 8
2x = 8 + 3
x = 11/2 (5.5)

✰Answer✰

x = 2/11

✐Derivation✐

[2/12x - 3/12 = 8/12]12

Get rid of the denominator.

2/x - 3 = 8

Add both sides by 3.

2/x = 11

Now, interchange the numerator and denominator.

x/2 = 1/11

Multiply both sides by 2.

x = 2/11

Question , as given , is open to doubt.

I suspect that you may mean :-

2 / (12 x - 3 ) / 12 = 8 / 12

24 / ( 12 x - 3 ) = 8 / 12

288 = 96 x - 24

96 x = 312

x = 312 / 96 = 26 / 8 = 13 / 4

PS
Questions must be expressed in a manner such that there is no doubt as to how question is meant to read.
In order to do so brackets must be used.

As the whole equation is divided by 12, multiply by 12.
Therefore 2/x - 3 = 8
Add both sides by 3, to get 2/x by itself.
Therefore 2/x = 8 + 3 = 11
Then multiply by x.
2 = 11x
Therefore x = 2/11 !!

Divide the equation by 12 since denominators are the same!!
===========>>>
Hence 2/x - 3 = 8

Now take like terms on the same side
===========>>>
So, 2/x = 11

Now solve x
===========>>>
x= 2/11

2/12x - 3/12 = 8/12; so...

2/12x = 11/12; so...

121x = 24; so...

x = 24/121, so...

x = 2/11

2/12x-3/12=8/12
2/12x= 8/12+3/12= 11/12
1/6x=11/12
11* 6x= 1*12
66x= 12
x= 12/66= 2/11