(5х-1)(2-х)=(х-3)(2-5х)

To solve the given equation, let's first expand both sides:

(5x - 1)(2 - x) = (x - 3)(2 - 5x)

Expanding the left side:

(5x)(2) + (5x)(-x) + (-1)(2) + (-1)(-x) = (x)(2) + (x)(-5x) + (-3)(2) + (-3)(-5x)

10x - 5x^2 - 2 + x = 2x - 5x^2 - 6 + 15x

Combining like terms and simplifying:

10x - 5x^2 - 2 + x - 2x + 5x^2 + 6 - 15x = 0

-6x - 2 = 0

Rearranging the equation:

-6x = 2

Dividing by -6:

x = 2 / -6

Simplifying:

x = -1/3

Therefore, the solution to the given equation is x = -1/3.