SOLUTION: {{{ 4/x - 5/3= x/6 }}} I tried multiplying both sides by x and then getting x alone from there, but the answer i got was wrong, so I don't know what to do.

SOLUTION: {{{ 4/x - 5/3= x/6 }}} I tried multiplying both sides by x and then getting x alone from there, but the answer i got was wrong, so I don't know what to do.

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Question 1001334: I tried multiplying both sides by x and then getting x alone from there, but the answer i got was wrong, so I don't know what to do.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
You must multiply by the lowest common denominator which is 6x here.
You then get
24 - 10x = x^2
which leads to
x^2 + 10x - 24 = 0
(x+12)(x-2)=0
x=-12 or x=2
Both check out okay, too.
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