(x+12)/(x+5)+1=(7)/(x+5)

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Solution for (x+12)/(x+5)+1=(7)/(x+5) equation: 


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:+oo)

(x+12)/(x+5)+1 = 7/(x+5) // - 7/(x+5)

(x+12)/(x+5)-(7/(x+5))+1 = 0

(x+12)/(x+5)-7*(x+5)^-1+1 = 0

(x+12)/(x+5)-7/(x+5)+1 = 0

(x+12)/(x+5)-7/(x+5)+(1*(x+5))/(x+5) = 0

1*(x+5)+x-7+12 = 0

x+x+5+5 = 0

2*x+10 = 0

(2*x+10)/(x+5) = 0

(2*x+10)/(x+5) = 0 // * x+5

2*x+10 = 0

2*x+10 = 0 // - 10

2*x = -10 // : 2

x = -10/2

x = -5

x in { -5} 

x belongs to the empty set

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