(0,5(x+6))/(2x-6)=1

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Solution for (0,5(x+6))/(2x-6)=1 equation: 


D( x )

2*x-6 = 0

2*x-6 = 0

2*x-6 = 0

2*x-6 = 0 // + 6

2*x = 6 // : 2

x = 6/2

x = 3

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

(0.5*(x+6))/(2*x-6) = 1 // - 1

(0.5*(x+6))/(2*x-6)-1 = 0

(0.5*(x+6))/(2*x-6)+(-1*(2*x-6))/(2*x-6) = 0

0.5*(x+6)-1*(2*x-6) = 0

9-1.5*x = 0

(9-1.5*x)/(2*x-6) = 0

(9-1.5*x)/(2*x-6) = 0 // * 2*x-6

9-1.5*x = 0

9-1.5*x = 0 // - 9

-1.5*x = -9 // : -1.5

x = -9/(-1.5)

x = 6

x = 6

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