how do you solve, x/2+x/5=x/6-1/3

Question

eyust707 · Answer

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 · Answer

can you explain further?

theeric · Answer

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.

theeric · Answer

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

anonymous · Answer

X=5/8???

anonymous · Answer

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

theeric · Answer

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

anonymous · Answer

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

anonymous · Answer

yea lol i meant 30 as LCD

theeric · Answer

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

anonymous · Answer

yup

theeric · Answer

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

anonymous · Answer

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

anonymous · Answer

x=-5/8

anonymous · Answer

alright thanks guys!

theeric · Answer

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