numerical denominators (x-1/4)-(x-2/6)=2/3?

Question

please show working

Answer 1

Your denominators are 4, 6 and 3. The least common multiple of 4, 6 and 3 is 12, so multiply everything by 12.
12(x-1)/4 - 12(x-2)/6 = 12(2/3)
Simplify
3(x-1) - 2(x-2) = 4(2)
Distribute
3x - 3 - 2x + 4 = 8
Combine like terms
x + 1 = 8
Subtract 1 from each side
x = 7

Answer 2

Combine like terms and get a common denominator (try 12):

x - 1/4 - (x - 2/6) =

x - 1/4 - x + 2/6 =

x - x - 1/4 + 2/6 =

1/4 + 2/6 =

1/4 + 1/3 =

3/12 + 4/12 =

7/12

So 2/3 is not the correct answer. (2/3 would be the correct answer if your first term was (x-1/3) instead of (x-1/4).)

Answer 3

I think you might have copied the question wrong:

remove brackets:
x - 1/4 - x + 2/6 = 2/3

cancel "x":
-1/4 + 2/6 = 2/3

common denominators:
-3/12 + 4/12 = 8/12
1/12 = 8/12 <== WRONG!!!

Answer 4

Multiply both sides by 12 to get rid of the fractions:
12((x-1/4)-(x-2/6))=12(2/3)
12x-3-(12x-4)=8
12x-3-12x+4=8
0x+1=8
0x=7
No Solution

Check:
(0-1/4)-(0-2/6)=2/3
-1/4+2/6=2/3
-3/12+4/12=2/3
1/12≠2/3

Answer 5

the way you wrote your problem
means that
x -1/4 -x +2/6 = 2/3
-1/4 + 1/3 = 2/3 which is clearly INCORRECT
MAY be you meant:

(x-1)/4-(x-2)/6=2/3
then take common denominator:
( 3x-3 - 2x+4) /12 = 2/3
then
x+1 = 2 (12) /3
x+1 =8
x =7

s

Answer 6

if by this you mean

((x - 1)/4) - ((x - 2)/6) = (2/3)

Multiply everything by 12

3(x - 1) - 2(x - 2) = 4(2)
3x - 3 - 2x + 4 = 8
x + 1 = 8
x = 7

ANS : x = 7