(X-5)/8=4/(x-1)

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Solution for (X-5)/8=4/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(X-5)/8 = 4/(x-1) // - 4/(x-1)

(X-5)/8-(4/(x-1)) = 0

(X-5)/8-4*(x-1)^-1 = 0

(X-5)/8-4/(x-1) = 0

((X-5)*(x-1))/(8*(x-1))+(-4*8)/(8*(x-1)) = 0

(X-5)*(x-1)-4*8 = 0

X*x-X-5*x-27 = 0

(X*x-X-5*x-27)/(8*(x-1)) = 0

(X*x-X-5*x-27)/(8*(x-1)) = 0 // * 8*(x-1)

X*x-X-5*x-27 = 0

-X-5*x-27 = 0 // + -X-27

-5*x = -(-X-27) // : -5

x = (-(-X-27))/(-5)

x = (X+27)/(-5)

x = (X+27)/(-5)

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