Question

(2x -5)/(x-2) -2 = 3/(x+2)
I have been trying to figure this out for the past half hour I am losing it here =(.

Answer 1

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

Answer 2

is that how it looks?

Answer 3

yes

Answer 4

your trying to find x?

Answer 5

yes. And they want to show work, problem is every time I try to solve I come up with some thing different.

Answer 6

meant 2x-5 up there not 2x+5

Answer 7

x=1

Answer 8

I know that because I used an algebraic calculator but I can't find a way to solve the equation to show that.

Answer 9

@jim_thompson5910

Answer 10

he's the best at explaining stuff

Answer 11

The LCD is (x-2)(x+2), so if you multiply everything by this LCD, you'll clear out the fractions



(2x -5)/(x-2) -2 = 3/(x+2)


(x-2)(x+2)*(2x -5)/(x-2) -2(x-2)(x+2) = (x-2)(x+2)*3/(x+2)


(x+2)(2x-5) - 2(x-2)(x+2) = 3(x-2)


2x^2 - 5x + 4x - 10 - 2(x^2 - 4) = 3(x-2)


2x^2 - 5x + 4x - 10 - 2x^2 + 8 = 3x - 6


-x - 2 = 3x - 6


I'll let you finish up

Answer 12

Make sure you check any possible answers you get

Answer 13

wow! Thank you so much! That helps a lot

Answer 14

ok what about this one?
4/(x+3) -1/2 = 3/(2x+6)
I don't know how to start without an LCD

Answer 15

2x+6 factors to 2(x+3)

Answer 16

so the LCD is 2(x+3)

Answer 17

correction 2/(x+3) -1/2 = 3/2(x+3)

Answer 18

so 2/x+3 * 2(x+3) cancels out?

Sorry I typed it wrong at first.

Answer 19

yes multiplying 2/x+3 * 2(x+3) out will give you 2*2 = 4

Answer 20

do the same for every other term

Answer 21

x = -6?

Answer 22

did you get just that one answer? if so, then it's incorrect

Answer 23

-1/2* 2(x +3)
-1 (x + 3)
-x -3 = 3
-x = 6
x = -6

Answer 24

you forgot the 4 we found earlier

Answer 25

it should be

4 - 1(x+3) = 3

Answer 26

solve that and you'll get your answer

Answer 27

*headdesk* wow. Thanks! I've been awake too long...

Answer 28

that's ok, don't take it out on your head or the desk though lol

you should try to get some sleep if you've been up for a while

Answer 29

finals week gotta get it all done =(

Answer 30

i gotcha, well i wish you the best of luck