Answer
$x = 2, -9$
Work Step by Step
1) Expand and simplify to solve for $x$
$x(x+9)=2(x+9)$
$x(x+9) - 2(x+9) = 0$
$x^{2} + 9x - 2x -18 = 0$
$x^{2}+7x-18=0\\\\ (x+9)(x-2)=0$
2) Set each factor equal to zero and solve:
$x + 9 = 0$
$x = -9$
$x-2=0 \\\\x=2$