Question

Solution to 3/2 - 1/x+5 = -2/3x+3

Answer 1

\[\frac{3}{2}-\frac{1}{x+5}=\frac{-2}{3x+3}\]?

Answer 2

yes :)

Answer 3

this is going to be a drag
i would start with
\[\frac{3}{2}=\frac{1}{x+5}-\frac{2}{3x+3}\] and then subtract on the right

Answer 4

Subtract on the right how? I'm sorry

Answer 5

/Combine the two expressions

Answer 6

?

Answer 7

\[\frac{1}{x+5}-\frac{2}{3x+3}=\frac{3x+3-2(x+5)}{(x+5)(3x+3)}\] then clean up the numerator

Answer 8

The x+5's would "cancel" and is that it? There are also 3x+3's too, but one isn't held in parenthesis, so is this left alone?

Answer 9

nothing cancels
forget cancelling

Answer 10

the numerator is \(3x+3-2x-10=x-7\) so the whole thing is
\[\frac{x-7}{(x+5)(3x+3)}\]

Answer 11

My end goal is to solve for x, so how would I move to the next step from here?

Answer 12

@satellite73

Answer 13

"cross multiply" and get
\[\frac{x-7}{(x+5)(3x+3)}=\frac{3}{2}\iff 2(x-7)=3(x+5)(3x+3) \]

Answer 14

then you have an annoying quadratic equation to solve
are you sure about the question ?

Answer 15

Yea, I believe so, My question is "What is the solution to the rational expression.." and my options for the answer are x=..., with on eof the choices being no solution

Answer 16

ok then if it was me, i would check the answers to see which one works

Answer 17

Great idea!! Thank you :) I'll just plug in the values, If i need help, I'll just call you back. Thanks again :)

Answer 18

k good luck
i have a feeling either i made a mistake or maybe there was a typo in the question
the solutions i got are strange
maybe you could tell me what the possibilities are

Answer 19

the answer options are x=-5, x=5, x=-5/2 and no solution

Answer 20

then there was a typo in the question
\[\frac{3}{2}-\frac{1}{x+5}=\frac{-2}{3x+3}\] does have solutions but none of those
are you sure that is the exact question?

Answer 21

Ahah! I've found it :p you're correct; the bottom portion of what is "-2/3x+3" is actually supposed to be 2x+10

Answer 22

lordamercy!

Answer 23

HAHA! Love your spelling on that, very visual lol

Answer 24

then\[\frac{3}{2}-\frac{1}{x+5}=\frac{-2}{2x+10}\] is a ton easier, because the common denominator on the will be \(2x+10\) but after all this work i will tell you that the answer is "no solution"!!

Answer 25

Alright, now that's cleared up, can you help me? haha

Answer 26

you want to work it through again step by step or just go with the answer? i can go either way

Answer 27

Yes the answer is fine :)

Answer 28

Sorry I put you through all of that, lol, "lordamercy"

Answer 29

kk good i am tired of this problem
go with "no solution"

Answer 30

LOL thanks again! you've been so much help tonight :D

Answer 31

yw

Answer 32

btw a great "lordamercy" can be found here
video is bad, but the lordamercy is excellent
https://www.youtube.com/watch?v=lx_kwGttI2o

Answer 33

Well that lordamercy is mighty fine if I say so myself, thank you for blessing me with that video, it's excellent

Answer 34

and LOL to your comment hahaha

Answer 35

big barrington levy fan
bounty killer not so much

Answer 36

"video is bad, but the lordamercy is excellent"
what a perfect concoction of words haha

Answer 37

I don't know of barrington, I'll have to look into him more. :) I like the reggae sound, which is what it reminds me of

Answer 38

definitely reggae

Answer 39

Lol, well I'm going to post my next question so I can get some friggin rest afterwards, my eyes are killing me!

Answer 40

can't wait