6/(x+3)=4/(2x-7)

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Solution for 6/(x+3)=4/(2x-7) equation: 


D( x )

2*x-7 = 0

x+3 = 0

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:7/2) U (7/2:+oo)

6/(x+3) = 4/(2*x-7) // - 4/(2*x-7)

6/(x+3)-(4/(2*x-7)) = 0

6/(x+3)-4*(2*x-7)^-1 = 0

6/(x+3)-4/(2*x-7) = 0

(6*(2*x-7))/((x+3)*(2*x-7))+(-4*(x+3))/((x+3)*(2*x-7)) = 0

6*(2*x-7)-4*(x+3) = 0

8*x-54 = 0

(8*x-54)/((x+3)*(2*x-7)) = 0

(8*x-54)/((x+3)*(2*x-7)) = 0 // * (x+3)*(2*x-7)

8*x-54 = 0

8*x-54 = 0 // + 54

8*x = 54 // : 8

x = 54/8

x = 27/4

x = 27/4

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