(x-3)/5=x-5

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Solution for (x-3)/5=x-5 equation: 


x in (-oo:+oo)

(x-3)/5 = x-5 // - x-5

(x-3)/5-x+5 = 0

(x-3)/5+(5*(-x))/5+(5^2)/5 = 0

x+5*(-x)-3+25 = 0

25-4*x-3 = 0

22-4*x = 0

(22-4*x)/5 = 0

(22-4*x)/5 = 0 // * 5

22-4*x = 0

22-4*x = 0 // - 22

-4*x = -22 // : -4

x = -22/(-4)

x = 11/2

x = 11/2

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