#### Answer

$x=-12$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
27-6x=99
$, is
\begin{array}{l}
-6x=99-27
\\\\
-6x=72
\\\\
x=\dfrac{72}{-6}
\\\\
x=-12
.\end{array}
Checking:
\begin{array}{l}
27-6(-12)=99
\\\\
27+72=99
\\\\
99=99
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=-12
.$