Question

Solve x+12/x+4=x/x+8

Answer 1

\(\LARGE \frac{x+12}{x+4} = \frac{x}{x+8}\) that's the question right?

Answer 2

yes

Answer 3

why don't you try cross multiplying..you know how right?

Answer 4

Yeah i did that but I keep getting stuck. i got down to x^2+20x+20=x^2+4x and then just got stuck

Answer 5

good one! now put x^2 + 4x on to the left side....subtract x^2 from both sides first what do you have?

Answer 6

oh okay i tried that. so20x+20=4x oh wait then you have to subtract 20x from both sides rights?

Answer 7

no no..you always subtract the SMALLER one...so subtract 4x from both sides

Answer 8

yeah but if you do that then there is nothing left on the left side.. how does that work?

Answer 9

btw..there was a problem with your (x+12)(x+8) that should be equal to x^2 + 20x + 96

because 12 x 8 is 96 NOT 20..got it? :)

Answer 10

ohh i added it oops :P okay lemme start over

Answer 11

no no..it's okay..let's carry on from 20x + 96 = 4x

Answer 12

there wasnt any big changes on the 96 anyway..so it wont influence our solution so far

Answer 13

so...you subtract both sides by 4x what do you have?

Answer 14

16x+96 but i didnt think you could leave one side with nothing

Answer 15

where'd that equal sign go? what's 4x - 4x?

Answer 16

... 0 ha okay i feel kinda dumb so 16x+96=0 then you subtract 96?

Answer 17

RIGHT!!! \(\checkmark\) :DDD

Answer 18

and then 16/-96=-6?

Answer 19

you got it! :DDD

Answer 20

but that's -96/16 but i think you got the idea haha

Answer 21

Thanks :) oh ha yeah