(12/x+3)=(x/x+3)+2?

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Solve for x? I am really confused because the fractions keep throughing me off. Can anyone help?

2007-07-10 13:13:34 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

(12/x+3)=(x/x+3)+2
or,12/(x+3)=(x+2x+6)/(x+3)
or,12=3x+6 [multiplying both sides by (x+3)]
or 3x+6=12
or 3x=12-6=6
or x=6/3=2 ans

2007-07-10 13:21:09 · answer #1 · answered by alpha 7 · 0⤊ 1⤋

(12/(x+3))=(x/(x+3))+2?

Multiply both sides by x+3
12 = x + 2(x+3)
Distribute the 2
12 = x + 2x + 6
Subtract 6 from both sides
6 = 3x
Divide both sides by 3
x = 2

2007-07-10 20:15:54 · answer #2 · answered by whitesox09 7 · 0⤊ 1⤋

Multiply everything by (x+3) which will give you:

12 = x + 2x+6
Then, combine like terms to give:
6=3x

and finally, x=2

2007-07-10 20:18:47 · answer #3 · answered by hcbiochem 7 · 0⤊ 1⤋