anonymous
  • anonymous
how do you solve, x/2+x/5=x/6-1/3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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eyust707
  • eyust707
You bring all the terms with x's to one side and the numerical term to the other side. Then you find the least common multiple of the denominators. You multiply each term by the appropriate factor to make the denominators all have the same LCM. Then you add the terms. Finally you multiply each side by the denominator so that x is isolated.
anonymous
  • anonymous
can you explain further?
theEric
  • theEric
Well, you want x to be on only one side of the equation when you're finished, so that's actually a good place to start.

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theEric
  • theEric
Given\[\frac{x}{2}+\frac{x}{5}=\frac{x}{6}-\frac{1}{3}\],
anonymous
  • anonymous
X=5/8???
anonymous
  • anonymous
i put all the x values on one side and i made the LCD 60 is that good so far?
theEric
  • theEric
Correct, GeekChic_! 60 is a good denominator! 30 also works if you'd like, but 60 will be fine too!
anonymous
  • anonymous
yea thats what i got but shouldn't it be -5/8?
anonymous
  • anonymous
yea lol i meant 30 as LCD
theEric
  • theEric
So you have\[\frac{30x}{60}+\frac{12x}{60}-\frac{10x}{60}=-\frac{1}{3}\]
anonymous
  • anonymous
yup
theEric
  • theEric
Oh yeah, definately\[-\frac{5}{8}\]
anonymous
  • anonymous
\[\frac{ 5x+2x }{ 10 }=\frac{ 3x-6 }{ 18 }\] then cross-multiply \[18(5x+2x)=10(5x+2x)\]
anonymous
  • anonymous
x=-5/8
anonymous
  • anonymous
alright thanks guys!
theEric
  • theEric
No problem! I'm glad you could work through the problem! Take care!

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