#### Answer

$x=3$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
32-7x=11
$, is
\begin{array}{l}
-7x=11-32
\\\\
-7x=-21
\\\\
x=\dfrac{-21}{-7}
\\\\
x=3
.\end{array}
Checking:
\begin{array}{l}
32-7(3)=11
\\\\
32-21=11
\\\\
11=11
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=3
.$