To solve for x in the equation:

X-2/5 - 4x - 1/20 = 2x - 5/4

First, let's combine the like terms on both sides of the equation:

X - 4x = 2x
-2/5 - 1/20 = -5/4

Now simplify the equation:

X - 4x = 2x
-9/20 = -5/4

Now let's solve for x by isolating it on one side of the equation:

X - 4x = 2x
X - 4x - 2x = 0
X - 6x = 0
X = 6x

Now substitute x = 6x back into the second equation:

-9/20 = -5/4
Multiply both sides by 20 to get rid of the fractions:
-9 = -5 * 5
-9 = -25

Since the equation -9 = -25 is not true, there is no solution for x in this equation.