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

#### alywall

##### New member
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

##### Super Moderator
Staff member
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

##### Elite Member
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
$$\displaystyle 6\, \dfrac{x\, +\, 5}{2}\, =\, \dfrac{6}{2}\, (x\, +\, 5)\, =\, 3\, (x\, +\, 5)$$