(5х-1)(2-х)=(х-3)(2-5х)

To solve this equation, we will first expand both sides:

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

Expanding the left side: 10x - 5x^2 - 2 + x = 2x - 6 - 5x^2 + 15x

Combining like terms: 10x - 5x^2 - 2 + x = 2x - 6 - 5x^2 + 15x 11x - 5x^2 - 2 = 17x - 5x^2 - 6

Grouping like terms: 11x - 17x = -6 + 2 -6x = -4

Dividing both sides by -6: x = (-4) / (-6) x = 2/3

Therefore, the solution to the equation is x = 2/3.