-2/x = 3/x+2
2007-10-18 16:29:16 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
-2/x = 3/x+2
multiply by the denominators
x (x+2)
Then, -2(x+2) = 3x
Now it is easy, -2x-4 = 3x
So 5x = -4
x = - 4/5
Note that this assumes x+2 is the denominator on the right side.
If instead it is : -2/x = 3/x +2
then multiply all by x
So, -2 = 3 + 2x
2x = -5
x = - 5/2
2007-10-18 16:32:37 · answer #1 · answered by ignoramus 7 · 0⤊ 0⤋
The first thing I would do is multiply both sides by x to get
-2=3+2x. You should be able to handle it from there.
2007-10-18 16:35:37 · answer #2 · answered by Rose T 6 · 0⤊ 0⤋
-2/x = 3/x +2
-2/x - 3/x = 2
-5/x = 2
x = -5/2
if the +2 was in the denominator as in -2/x=3/(x+2)
then:
-2/x= 3/(x+2)
-2x-4= 3x
-3x-2x=4
-5x=4
x=-4/5
2007-10-18 16:33:26 · answer #3 · answered by Mark 5 · 0⤊ 0⤋
-2/x = 3/x + 2
-2/x = 3/x + 2x/x (cuz x/x = 1)
-2 = 3 + 2x
-5 = 2x
x= -5/2= -2.5
2007-10-18 16:35:32 · answer #4 · answered by Anonymous · 0⤊ 0⤋
multiply each side by -2 so you get
x=-3/2 - 4
2007-10-18 16:36:18 · answer #5 · answered by *MyNameInLights* 3 · 0⤊ 0⤋
(asterisks used to create spaces)
-2***3
--- = ---
x***x+2
Simple...cross-multiply
-2(x+2) = 3x
****Now multiply -2 with x+2
-2x - 4 = 3x
+2x*****+2x
****Add the 2x to the other side
-4 = 5x
---***---
5 ***5
****Divide by 5
x = -4/5 or -0.8
there...got it?
2007-10-18 16:41:53 · answer #6 · answered by Prince J 2 · 0⤊ 0⤋