8/(x+10)=4/(2x-7)

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Solution for 8/(x+10)=4/(2x-7) equation: 


D( x )

2*x-7 = 0

x+10 = 0

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

x+10 = 0

x+10 = 0

x+10 = 0 // - 10

x = -10

x in (-oo:-10) U (-10:7/2) U (7/2:+oo)

8/(x+10) = 4/(2*x-7) // - 4/(2*x-7)

8/(x+10)-(4/(2*x-7)) = 0

8/(x+10)-4*(2*x-7)^-1 = 0

8/(x+10)-4/(2*x-7) = 0

(8*(2*x-7))/((x+10)*(2*x-7))+(-4*(x+10))/((x+10)*(2*x-7)) = 0

8*(2*x-7)-4*(x+10) = 0

12*x-96 = 0

(12*x-96)/((x+10)*(2*x-7)) = 0

(12*x-96)/((x+10)*(2*x-7)) = 0 // * (x+10)*(2*x-7)

12*x-96 = 0

12*x-96 = 0 // + 96

12*x = 96 // : 12

x = 96/12

x = 8

x = 8

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