(x-4)/(6-x)=0.5

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Solution for (x-4)/(6-x)=0.5 equation: 


D( x )

6-x = 0

6-x = 0

6-x = 0

6-x = 0 // - 6

-x = -6 // * -1

x = 6

x in (-oo:6) U (6:+oo)

(x-4)/(6-x) = 0.5 // - 0.5

(x-4)/(6-x)-0.5 = 0

(x-4)/(6-x)+(-0.5*(6-x))/(6-x) = 0

x-0.5*(6-x)-4 = 0

1.5*x-7 = 0

(1.5*x-7)/(6-x) = 0

(1.5*x-7)/(6-x) = 0 // * 6-x

1.5*x-7 = 0

1.5*x-7 = 0 // + 7

1.5*x = 7 // : 1.5

x = 7/1.5

x = 4.66666667

x = 4.66666667

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