## dddan Group Title how do you solve, x/2+x/5=x/6-1/3 one year ago one year ago

1. eyust707 Group Title

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.

2. dddan Group Title

can you explain further?

3. theEric Group Title

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.

4. theEric Group Title

Given$\frac{x}{2}+\frac{x}{5}=\frac{x}{6}-\frac{1}{3}$,

5. GeekChic_ Group Title

X=5/8???

6. dddan Group Title

i put all the x values on one side and i made the LCD 60 is that good so far?

7. theEric Group Title

Correct, GeekChic_! 60 is a good denominator! 30 also works if you'd like, but 60 will be fine too!

8. dddan Group Title

yea thats what i got but shouldn't it be -5/8?

9. dddan Group Title

yea lol i meant 30 as LCD

10. theEric Group Title

So you have$\frac{30x}{60}+\frac{12x}{60}-\frac{10x}{60}=-\frac{1}{3}$

11. dddan Group Title

yup

12. theEric Group Title

Oh yeah, definately$-\frac{5}{8}$

13. GeekChic_ Group Title

$\frac{ 5x+2x }{ 10 }=\frac{ 3x-6 }{ 18 }$ then cross-multiply $18(5x+2x)=10(5x+2x)$

14. GeekChic_ Group Title

x=-5/8

15. dddan Group Title

alright thanks guys!

16. theEric Group Title

No problem! I'm glad you could work through the problem! Take care!