## lasttccasey 2 years ago I need help solving for x.

1. lasttccasey

This is it:$a^2x+(a-2)=(a+2)x$Not sure where to start..

2. lasttccasey

I have the answer but I don't know how to get it:$x=\frac{-1}{a+1}$

3. math456

$a ^{2}x+a-2=ax+2x$ multiply them first then put all the a's to one side..

4. lasttccasey

Well I shouldn't say not sure where to start I guess.. I got: $a(ax−x+1)=x(x+2)$This is where I'm actually stuck at.

5. math456

how about if we do.. $a ^{2}x+a-2=ax+2x$

6. math456

$a ^{2}x-a-ax=2x+2$ $a ^{2}x-ax-2x=2-a$ $x(a ^{2}-a-2)=2-a$

7. math456

here solve for x!!

8. math456

x=2-a/a^2-a-2 -> factor the denominator a^2-a-2 x= - (-2+a)/(a+1)(a-2) x=-1/(a+1)

9. lasttccasey

Yea I had just tried that way before asking on here and didn't think about factoring the a^2-a-2 so thats where I stopped and tried a different way. Thanks though

10. math456

welcome.. :)