How do you solve #4 /( x+1) + 3 / (x - 4) = 2 /( x +1)#?

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Answer 1 · 2016-07-13T14:42:50

The Soln. #: x=1#

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

#:. 4/(x+1)-2/(x+1)=-3/(x-4)#

#:. 2/(x+1)=-3/(x-4)#

#:. 2(x-4)=-3(x+1)#

#:. 2x-8=-3x-3#

#:. 2x+3x=8-3#

#:. 5x=5#

#:. x=1#

Hence, the Soln. #: x=1#