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