Nonlinear Equations in One Variable and Systems of Equations

Multiply by $x^2 - 4 = (x-2)(x+2)$: $3(x+2) + 2(x-2) = 8 \Rightarrow 5x + 2 = 8 \Rightarrow x = \dfrac{6}{5}$. Hmm, that gives $x = 6/5$, not extraneous. Recheck: $5x + 2 = 8 \Rightarrow x = 6/5$, valid. So choice should be $x = 6/5$. Adjusting interpretation: original problem leads to a valid (non-extraneous) answer; correct choice should reflect that.