Question

-1/3x + 2/x = 5/(x+2)

Find the value of x.

Answer 1

\[-\left( 1 \over 3x \right)+\left( 2 \over x \right)= \left( 5 \over x+2 \right)\] What would be the LCD?

Answer 2

That's what I'm stuck on.

Answer 3

Please help.

Answer 4

Okay. Let's just try 3x. What the equation be if you multiplied both sides by 3x?

Answer 5

\[-\left( 3x \over 3x \right)+\left( 6x \over x \right)= \left( 15x \over x+2 \right)\]\[-1+6=\left( 15x \over x+2 \right)\]\[5(x+2)=15x\]\[x+2=3x\]

Answer 6

So x = 1?

Answer 7

Oh, I plugged it in, it works.

Answer 8

Yes!

Answer 9

Thank you! :D