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.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> 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.      Log On


   

Question 1001334: +4%2Fx+-+5%2F3=+x%2F6+ 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) About Me  (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.