Question 58710
To solve fractional equations, it helps to "clear" the fractions.  This means that you should turn the fractions into integers (whole numbers).
You can do this by multiplying the fractions by their lowest common denominator (LCD).
Let's look at your equation:
{{{2x - 1/3 - 3 - x/2 = x/4}}} The LCD of 1/2, 1/3, and 1/4 is 12, so we'll multiply both sides of the equation by 12:
{{{12(2x - 1/3 - 3 - x/2) = 12(x/4)}}} = {{{24x - 4 - 36 - 6x = 3x}}} Now simplify this.
{{{(24x-6x) - 4 - 36 = 3x}}}
{{{18x - 40 = 3x}}} Add 40 to both sides.
{{{18x = 3x + 40}}} Subtract 3x from both sides.
{{{15x = 40}}} Divide both sides by 15.
{{{x = 40/15}}} Simplify.
{{{x = 8/3}}} 

Check the solution:

{{{2x - 1/3 - 3 - x/2 = x/4}}} Substitute {{{x = 8/3}}}
{{{2(8/3) - 1/3 - 3 - (8/3)/2 = (8/3)/4}}} Simplifying this, we get:
{{{16/3 - 1/3 - 9/3 - 4/3 = 2/3}}}
{{{16/3 - 14/2 = 2/3}}}
{{{2/3 = 2/3}}} OK