solve 2/x-1 + 4/x = 8/x(x-1)

Question

anonymous · Answer

x(2/x-1+4/x=x(8/x)(x-1)
2-x+4=8x-8
14=7x
x=2

anonymous · Answer

can you explain please

anonymous · Answer

$$\frac{ 2 }{ x-1 }+\frac{ 4 }{ x }=\frac{ 8 }{ x(x+1) }$$ like this?

anonymous · Answer

yes like that

anonymous · Answer

$$(\frac{ 2 }{ x-1 }+\frac{ 4 }{ x }=\frac{ 8 }{ (x)(x-1) })x(x-1)$$
like @spiel7 said but it come out a little different then he said

anonymous · Answer

what do you get when you do this?

anonymous · Answer

i saw the equation incorrectly. big teach has the ball. find the lcd and you are home

anonymous · Answer

sorry i dont really get it

anonymous · Answer

common lcd is x(x+1)(x-1)

anonymous · Answer

once you do these it will get rid of all the fractions and you will be able to solve the normal way all we are doing is multippling by all the denomenators

anonymous · Answer

there isn't an x+1 denominator, it's x-1

anonymous · Answer

sorry i missed typed the first ime then. So do not multiply by the x+1 just x and x-1 this will make it a lot easier :)

anonymous · Answer

yyou should get 
 $$2x+4(x-1)=8$$
do you see how?

anonymous · Answer

yea i get it

anonymous · Answer

cool sorry about the confusion!! :) 
So get how to finish the equation

anonymous · Answer

so 2x+ 4x-4=8
move over the 8 then factor

anonymous · Answer

there are no x^2 in here so no factor easy solve

anonymous · Answer

6x-4=8

anonymous · Answer

oh yea yea i dont factor, ok yea sorry got it

anonymous · Answer

np

anonymous · Answer

thanks