Question 747563
We'll rewrite it to make it easier to work with. In particular we move all like terms to the same side of the equation:



{{{
4(x+2)^-1-4(x+2)^-1 - (3x)^-1 = 10(x+2)^-1-4(x+2)^-1
}}}

which simplifies to...


{{{
(- 1)/(3x) = 6/(x+2)
}}}


Now notice that this is a proportion, so we can cross multiply then divide:

{{{
(-1)(x+2)=(6)(3x)
}}}

{{{
-x-2=18x
}}}


{{{-x+x-2=18x+x}}}

then x = -2/19



:)