Not sure how to do: (x + 5)/2 + (x + 2)/3 = 8

alywall

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Jan 11, 2016
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I'm not sure how to do this:

\(\displaystyle \dfrac{x\, +\, 5}{2}\, +\, \dfrac{x\, +\, 2}{3}\, =\, 8\)

*I thought about using the LCM of 6 to rid myself of the fractions, but feel myself messing up when it comes to distribution and division/removing fractions.

Thanks! :)
 
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stapel

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Feb 4, 2004
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I'm not sure how to do this:

\(\displaystyle \dfrac{x\, +\, 5}{2}\, +\, \dfrac{x\, +\, 2}{3}\, =\, 8\)

*I thought about using the LCM of 6 to rid myself of the fractions....
That's a good first step. Multiply everything by 6, and then solve the resulting linear equation. ;)
 

Ishuda

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Jul 30, 2014
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I'm not sure how to do this:

\(\displaystyle \dfrac{x\, +\, 5}{2}\, +\, \dfrac{x\, +\, 2}{3}\, =\, 8\)

*I thought about using the LCM of 6 to rid myself of the fractions, but feel myself messing up when it comes to distribution and division/removing fractions.

Thanks! :)
As stapel said and remember that
\(\displaystyle 6\, \dfrac{x\, +\, 5}{2}\, =\, \dfrac{6}{2}\, (x\, +\, 5)\, =\, 3\, (x\, +\, 5)\)
 
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