(x + 1) + (x + 1) 5 x = 6

(x+1)/x+5x/(x+1)=6
Multiply both sides by X (x + 1)
（x+1)^2+5x^2=6x(x+1)
6x^2+2x+1=6x^2+6x
That is 4x = 1
x=1/4
It is proved that x = 1 / 4 is the solution of the original equation

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