1/(3-x)=2/5-1

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Solution for 1/(3-x)=2/5-1 equation: 


D( x )

3-x = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

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

1/(3-x) = 2/5-1 // - 2/5-1

1/(3-x)-(2/5)+1 = 0

1/(3-x)-2/5+1 = 0

(1*5)/(5*(3-x))+(-2*(3-x))/(5*(3-x))+(1*5*(3-x))/(5*(3-x)) = 0

1*5*(3-x)-2*(3-x)+1*5 = 0

2*x-5*x-1+15 = 0

14-3*x = 0

(14-3*x)/(5*(3-x)) = 0

(14-3*x)/(5*(3-x)) = 0 // * 5*(3-x)

14-3*x = 0

14-3*x = 0 // - 14

-3*x = -14 // : -3

x = -14/(-3)

x = 14/3

x = 14/3

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