2/3=4/(x-5)

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Solution for 2/3=4/(x-5) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

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

2/3 = 4/(x-5) // - 4/(x-5)

2/3-(4/(x-5)) = 0

2/3-4*(x-5)^-1 = 0

2/3-4/(x-5) = 0

(-4*3)/(3*(x-5))+(2*(x-5))/(3*(x-5)) = 0

2*(x-5)-4*3 = 0

2*x-22 = 0

(2*x-22)/(3*(x-5)) = 0

(2*x-22)/(3*(x-5)) = 0 // * 3*(x-5)

2*x-22 = 0

2*x-22 = 0 // + 22

2*x = 22 // : 2

x = 22/2

x = 11

x = 11

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