Answer
$x=9$
Work Step by Step
Step 1. Taking the square on both sides, we have
$x^2-10x+25=x+7$ or $x^2-11x+18=0$
Step 2. Factoring the left side, we have $(x-2)(x-9)=0$, which gives $x=2$ and $x=9$
Step 3. Check the answers; we find only $x=9$ fits the original equation.
