# Math Check

posted by Justine

Can you please see if you got the same answer as I did? Thank you.

3/x + 2/x-4

3x-12=2x
subtract 3x from both sides you get -12=-1x divide by -1 final answer is 12.

1. Reiny

yes, the solution to 3x-12=2x
is x = 12

but ...

how did 3/x + 2/x-4
magically turn into the equation
3x-12=2x ????

2. Justine

I multiplied each fraction by (x)(x-4)

3. Reiny

you must have had
3/x = 2(x-4)

cross-multiplying would have given you
3x - 12 = 2x

ok, looks like a simple typo.

4. j

3/x+ 2/x-4 = 3(x-4)+ 2(x)=0
3x-12+2x=0
3x+2x=12
5x=12
x=12-5
x=7
or only if you cross multiply the 3*x-4 which is 3x-12 and put it equal to 2*x which is 2x that could work.

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