step one: because it is a fraction, you owuld mult. both sides by 6x = 1.
then you would be left of with 5/1 + 1/2. which i hope you can do.

the other side is where i get confuesd. you have to cross mult, and if you did this, you would end up witha fraction again. is that what you are supost to get??

You are given: \(\displaystyle \frac{5}{6x} + \frac{1}{2} = \frac{5}{3x}\)

Multiply each term by \(\displaystyle 6x\) as this is the lowest common denominator of \(\displaystyle 2, 3 \text{ and } 6x\) (Just like 24 is the lowest common denominator of 3,4 and 6)

Multiplying by the LCD will remove the fraction to give a simple linear equation