#### Answer

$x=-7$

#### Work Step by Step

We start with the distributive property: $-2(3x+9)=24$
We apply the distributive property: $-6x-18=24$
We add $18$ to both sides of the equation: $-6x=24+18$
We combine like terms: $-6x=42$
We divide both sides of the equation by $-6$: $x=-7$