(5х-1)(2-х)=(х-3)(2-5х)

To solve the given equation, let's simplify it step by step:

(5х-1)(2-х) = (х-3)(2-5х)

Expand both sides of the equation:

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

Combine like terms on both sides:

-4х - 2 = 17х - 6

Move variables to one side and constants to the other side:

-4х - 17х = -6 + 2

-21х = -4

Divide both sides by -21 to solve for x:

x = (-4) / (-21)

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (which is 1 in this case):

x = 4 / 21

Therefore, the solution to the equation is x = 4 / 21.