(4x+8)/(5x+8)=5/6

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Solution for (4x+8)/(5x+8)=5/6 equation: 


D( x )

5*x+8 = 0

5*x+8 = 0

5*x+8 = 0

5*x+8 = 0 // - 8

5*x = -8 // : 5

x = -8/5

x in (-oo:-8/5) U (-8/5:+oo)

(4*x+8)/(5*x+8) = 5/6 // - 5/6

(4*x+8)/(5*x+8)-(5/6) = 0

(4*x+8)/(5*x+8)-5/6 = 0

(6*(4*x+8))/(6*(5*x+8))+(-5*(5*x+8))/(6*(5*x+8)) = 0

6*(4*x+8)-5*(5*x+8) = 0

8-x = 0

(8-x)/(6*(5*x+8)) = 0

(8-x)/(6*(5*x+8)) = 0 // * 6*(5*x+8)

8-x = 0

8-x = 0 // - 8

-x = -8 // * -1

x = 8

x = 8

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