(7x−1)(2−x)=(x−3)(4−7x)

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Expanding both sides of the equation, we get:

(7x)(2) + (7x)(-x) + (-1)(2) + (-1)(-x) = (x)(4) + (x)(-7x) + (-3)(4) + (-3)(-7x)
14x - 7x^2 - 2 + x = 4x - 7x^2 - 12 - 21x
15x - 2 = -17x - 12

Rearranging terms:

15x + 17x = -12 + 2
32x = -10
x = -10/32
x = -5/16

Therefore, the solution to the equation is x = -5/16.