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laythesmack23
Dude, you're awesome! Yeah, it was my mistake, correct answer is C! I see what you did, you did it much easier than the mgmat website.

When simplifying the equation like 4/X + 3X= 3X-36, to remove the denominator, we multiply with 3X,by both sides, is this correct? And this gives us 4+3x^2=3x^2-36 (are you multiplying by X on the left side to both sides? to square both 3X's?, I'm assuming this isolates the problem to 4=-36? then you divide by 4.


I don't follow why this becomes

How about instead of multiplying the equation by 'x', why not subtract '3x' from both sides first => 4/x = -36
Then multiply both sides by 'x' => 4 = -36x
Divide both sides by '-36' and simplify
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laythesmack23
4/x + 3x = 3(x-12)

A. -9
B. -1/3
C. -1/9
D. 1/9
E. 9

\(\frac{4}{x} + 3x = 3(x-12)\) --> \(\frac{4}{x} + 3x = 3x-36\) --> \(3x\) cancels out: \(\frac{4}{x}=-36\) --> \(x=-\frac{4}{36}=-\frac{1}{9}\).

Answer: C.
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\(\frac{4}{x}+ 3x = 3x-36\)
\(\frac{4}{x} = 3x-3x-36\)
\(\frac{4}{x} = -36\)
\(-36x = 4\)
\(x=-\frac{1}{9}\)

Answer: -1/9
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4/x + 3x = 3(x-12)
or,4/x+3x=3x−36
or,4/x=−36
or,x=−1/9

correct answer C
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Hello from the GMAT Club BumpBot!

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