# Thread: Help with solving an equation?

1. ## 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

2. 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

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

$x+2=3$

$x=1$

3. 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