Originally Posted by

**e^(i*pi)** 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

$\displaystyle \frac{5}{6x} \cdot 6x + \frac{1}{2} \cdot 6x = \frac{5}{3x} \cdot 6x$

When you do some cancelling you get $\displaystyle 5+3x=10$. Can you find x from this last equation?