Question 188841
First find the LCD.  The LCD is 6x.

We now multiply every term on both sides of the equation by the LCD.  This is done to remove all fractions. 

(2/3x) times 6x = 4

(1/6x) times 6x = 1

2 times 6x = 12x

We now have the following  linear equation:

4 + 1 = 12x

5 = 12x

5/12 = x

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To make sure the answer is x = 5/12, replace every x you see in the original fractional equation given.  After doing the math, you will see that 
2 = 2 proving that the right answer is the fraction 5/12.