(X+5)/(3x-9)=5/7

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Solution for (X+5)/(3x-9)=5/7 equation: 


D( x )

3*x-9 = 0

3*x-9 = 0

3*x-9 = 0

3*x-9 = 0 // + 9

3*x = 9 // : 3

x = 9/3

x = 3

x in (-oo:3) U (3:+oo)

(X+5)/(3*x-9) = 5/7 // - 5/7

(X+5)/(3*x-9)-(5/7) = 0

(X+5)/(3*x-9)-5/7 = 0

(7*(X+5))/(7*(3*x-9))+(-5*(3*x-9))/(7*(3*x-9)) = 0

7*(X+5)-5*(3*x-9) = 0

7*X-15*x+80 = 0

(7*X-15*x+80)/(7*(3*x-9)) = 0

(7*X-15*x+80)/(7*(3*x-9)) = 0 // * 7*(3*x-9)

7*X-15*x+80 = 0

7*X-15*x+80 = 0 // - 7*X+80

-15*x = -(7*X+80) // : -15

x = (-(7*X+80))/(-15)

x = (7*X+80)/15

x = (7*X+80)/15

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