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

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Solution for (7)/(2x-1)=(4)/(x+5) equation: 


D( x )

x+5 = 0

2*x-1 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:-5) U (-5:1/2) U (1/2:+oo)

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

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

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

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

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

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

39-x = 0

(39-x)/((2*x-1)*(x+5)) = 0

(39-x)/((2*x-1)*(x+5)) = 0 // * (2*x-1)*(x+5)

39-x = 0

39-x = 0 // - 39

-x = -39 // * -1

x = 39

x = 39

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