Algebra question

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Hi can somebody give me an answer and solution to this please?

16x -4 = 12x +8

Noo

x=3



bring the 4 over to the other side and change signs

16x -4 = 12x + 8
16x= 12x + 8 + 4
16x= 12x + 12

bring the 12x over and change signs

16x-12x= 12
4x= 12

thats 4x so for x divide both sides by 4

x=3

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Inbox wrote: »

Hi can somebody give me an answer and solution to this please?

16x -4 = 12x +8

Simply subtract 12x from both sides:

16x - 4 - 12x = 12x + 8 -12x
4x - 4 = 8

Then add 4 to both sides:

4x - 4 + 4 = 8 + 4
4x = 12

Finally, divide both sides by 4:

x = 3

So, your solution is x=3. If you've any specific questions just ask.

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Thanks for such quick replies.

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Hi guys I have another one for you. I have notes on this one but I can't seem to follow them

Q. 3/x+2 - 1/2 = 4/3

Here is the next line from my notes,The bottom line is dropped because it's on top also?

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

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(x+2) (2) (3)

Thanks

Ficheall

Q. 3/x+2 - 1/2 = 4/3

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

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(x+2) (2) (3)


If you wanted to add 1/2 + 3/5 the lowest common denominator is (2)(5) = 10.
2 goes into 10 five times so 1/2 becomes 5/10. 5 goes into 10 twice so 3/5 becomes 6/10. Then 5/10+6/10 is 11/10.

The same method is what they're using here.
The common denominator is (x+2)(2)(3).
(x+2) goes into (x+2)(2)(3) six times, so 3/(x+2) becomes 3(6)/(x+2)(2)(3).

2 goes into (x+2)(2)(3) three multiplied by (x+2) times, so 1/2 is written as 1(x+2)(3)/(2)(x+2)(3) or (3x+6)/(2)(x+2)(3).

3 goes into (x+2)(2)(3) twice (x+2) times, so 4/3 is written as (4)(x+2)(2)/(2)(x+2)(3) or 4(2x+4)/(2)(x+2)(3).

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Many thanks for your help.But I still don't get it. I've just wasted an hour by trying to figure it out again.