(x+8)/(x-7)+1=15/(x-7)

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Solution for (x+8)/(x-7)+1=15/(x-7) equation: 


D( x )

x-7 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:7) U (7:+oo)

(x+8)/(x-7)+1 = 15/(x-7) // - 15/(x-7)

(x+8)/(x-7)-(15/(x-7))+1 = 0

(x+8)/(x-7)-15*(x-7)^-1+1 = 0

(x+8)/(x-7)-15/(x-7)+1 = 0

(x+8)/(x-7)-15/(x-7)+(1*(x-7))/(x-7) = 0

1*(x-7)+x-15+8 = 0

x+x-7-7 = 0

2*x-14 = 0

(2*x-14)/(x-7) = 0

(2*x-14)/(x-7) = 0 // * x-7

2*x-14 = 0

2*x-14 = 0 // + 14

2*x = 14 // : 2

x = 14/2

x = 7

x in { 7} 

x belongs to the empty set

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