First, let's simplify the equation by finding a common denominator for all the fractions:

(4(x-2))/20 - (5(5-2x))/20 + (4(4x-1))/20 = 4 - x

Now, simplify each fraction:

(4x - 8)/20 - (25 - 10x)/20 + (16x - 4)/20 = 4 - x

Now, combine like terms:

(4x - 8 - 25 + 10x + 16x - 4)/20 = 4 - x

(30x - 37)/20 = 4 - x

Now, multiply both sides by 20 to get rid of the denominator:

30x - 37 = 80 - 20x

Now, combine like terms:

30x + 20x = 80 + 37

50x = 117

Finally, divide by 50 to solve for x:

x = 117/50

Therefore, the solution to the equation is x = 117/50.