# Help with solving an equation?

• Jan 22nd 2008, 12:19 PM
liljeros
Help with solving an equation?
Hi I am new on this forum and I am very glad to find it:)
I could start off by telling you that i am from Sweden so my "math-language" may not be the best in English. I am also still just in first grade of High School so this is not too advanced I hope.
The thing is that i am repeating for a test that I am going to have tomorrow and I got stuck on a equation and I hoped that you maybe could help me out with the solution?
Here it is:

1/6+1/3x=1/2x

My guess is that you need to get rid of the Denominators (?) fist and then solve the equation like normal, but when I do that I only get:

6x^2+12x=18x

and that is not solvable right?
I got the answer and it is supposed to be 1?
I need help with the way to solve it though...

Fast answers are very much appreciated, thanks!

Greetings Rickard Liljeros
• Jan 22nd 2008, 12:24 PM
colby2152
Rickard,

Your guess was correct, but the equation you came up with wasn't...

$\frac{1}{6}+\frac{1}{3x}=\frac{1}{2x}$

LCD is 6x, multiply each term by 6x

$\frac{6x}{6}+\frac{6x}{3x}=\frac{6x}{2x}$

$x+2=3$

$x=1$
• Jan 22nd 2008, 12:27 PM
liljeros
Quote:

Originally Posted by colby2152
Rickard,

Your guess was correct, but the equation you came up with wasn't...

$\frac{1}{6}+\frac{1}{3x}=\frac{1}{2x}$

LCD is 6x, multiply each term by 6x

$\frac{6x}{6}+\frac{6x}{3x}=\frac{6x}{2x}$

$x+2=3$

$x=1$

Thank you very much! this will help me alot on my test(Heart)