(1/(x-6))+2=(4/(x-6))

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Solution for (1/(x-6))+2=(4/(x-6)) equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

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

1/(x-6)+2 = 4/(x-6) // - 4/(x-6)

1/(x-6)-(4/(x-6))+2 = 0

1/(x-6)-4*(x-6)^-1+2 = 0

1/(x-6)-4/(x-6)+2 = 0

1/(x-6)-4/(x-6)+(2*(x-6))/(x-6) = 0

2*(x-6)-4+1 = 0

2*x-12-3 = 0

2*x-15 = 0

(2*x-15)/(x-6) = 0

(2*x-15)/(x-6) = 0 // * x-6

2*x-15 = 0

2*x-15 = 0 // + 15

2*x = 15 // : 2

x = 15/2

x = 15/2

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