I need some help with this math problem:?

Question

x/8 - 2/8 = x/3 -4/3

please help, my answer is always different than my book!

Answer 1

(x-2)/8 = (x-4)/3

3(x-2) = 8(x-4)

3x - 6 = 8x - 32

5x = 26

x = 26/5

Answer 2

x/8-2/8=x/3-4/3

x/8-x/3=2/8-4/3

24*(x/8-x/3)=24*(2/8-4/3)

3x-8x=6-32

-5x=-26

5x=26

x=26/5

I hope this can be useful

David

Answer 3

take the x terms to one side.

then take out the LCM and simplify,

according to my calculation i get x=5.2

Answer 4

i got the same answer 5.2 via the same method

Answer 5

I'm guessing you want to solve for x...

x /  8 - 2 / 8 = x / 3 - 4 / 3

First simplify

x /  8 - 1 / 4 = x / 3 - 4 / 3

Now get all the x parts to one side and the number parts to the other...

x /  8 - x / 3 = 1 / 4 - 4 / 3

To collection these fractions we need Common Denominators...

On the left side the C.D. is 24, on the right its 12

Lets rewrite with Common Denominators...

(3x - 8x) / 24 = (3 - 16 ) / 12

Now simplify

-5x / 24 = -13 / 12

To get the x by itself we multiply both sides by - 24 / 5

x = (-13 / 12) ( -24 / 5)

Then simplify

x = (13 * 2) / 5

x = 26 / 5

Answer 6

Method 1

x/8 - 2/8 = x/3 -4/3  ---------- adding terms on both sides

(x – 2)/8 = (x – 4)/3

3(x – 2) = 8(x – 4)

3x – 6 = 8x – 32

5x = 26

x = 26/5 = 5 1/5

Method 2

x/8 - 2/8 = x/3 -4/3 ------------- adding equal terms

x/8 – x/3 = 2/8 – 4/3 -------------- LCM 24

(3x – 8x)/24  = (6 – 32)/24

(3x – 8x)  = (6 – 32)

– 5x = – 26

x = 26/5 = 5 1/5

---------

Answer 7

24*(x/8-2/8) =24*(x/3-4/3)

3x-6=8x-32

5x=26

X=5.2

Answer 8

Multiply everything by 3:

3x/8 - 6/8 = x - 4

3x/8 + 26/8 = x

3x + 26 = 8x

26 = 5x

x = 5.2

Answer 9

Multiply both sides by 24 (LCM of 3 and 8)

24x/8 - 2*24/8 = 24x/3 - 24*4/3

Because 24/3 is 8 and 24/8 is 3

3x - 2*3 = 8x - 8*4

or 3x - 6 = 8x - 32

Add 32 to both sides:

3x + 26 = 8x

Subtract 3x:

26 = 5x

Divide by 5:

x = (25 + 1)/5 = 5.2