4/(2x-7)=5/(x+4)

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Solution for 4/(2x-7)=5/(x+4) equation: 


D( x )

x+4 = 0

2*x-7 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

x in (-oo:-4) U (-4:7/2) U (7/2:+oo)

4/(2*x-7) = 5/(x+4) // - 5/(x+4)

4/(2*x-7)-(5/(x+4)) = 0

4/(2*x-7)-5*(x+4)^-1 = 0

4/(2*x-7)-5/(x+4) = 0

(4*(x+4))/((2*x-7)*(x+4))+(-5*(2*x-7))/((2*x-7)*(x+4)) = 0

4*(x+4)-5*(2*x-7) = 0

51-6*x = 0

(51-6*x)/((2*x-7)*(x+4)) = 0

(51-6*x)/((2*x-7)*(x+4)) = 0 // * (2*x-7)*(x+4)

51-6*x = 0

51-6*x = 0 // - 51

-6*x = -51 // : -6

x = -51/(-6)

x = 17/2

x = 17/2

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