(3x+2)/(x-1)+3=4

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Solution for (3x+2)/(x-1)+3=4 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(3*x+2)/(x-1)+3 = 4 // - 4

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

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

3*(x-1)-4*(x-1)+3*x+2 = 0

3*x-x-3+6 = 0

2*x+3 = 0

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

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

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

x = -3/2

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