Let's first simplify the equation step by step:

-(4-x) - 4(x-5) = 5(1-x) * x/4 - 2 = -5

Expand each term:

-4 + x - 4x + 20 = 5x/4 - 5x^2/4 - 2 = -5

Combine like terms:

-3x + 16 = 5x/4 - 5x^2/4 - 2 = -5

Move all terms to the left side of the equation:

-3x + 5x/4 - 5x^2/4 - 2 - 16 + 5 = 0

Multiply through by 4 to clear fractions:

-12x + 5x - 5x^2 - 8 - 64 + 20 = 0

Combine like terms:

-7x - 5x^2 - 52 = 0

Rearrange the equation in standard form:

5x^2 + 7x + 52 = 0

This is a quadratic equation that can be solved using the quadratic formula.