Answer
$x=-32$
Work Step by Step
Using order of operations, the given expression, $
9(x+2)=5[11-2(2-x)+3]
,$ simplifies to
\begin{array}{l}\require{cancel}
9x+18=5[11-4+2x+3]
\\\\
9x+18=5[10+2x]
\\\\
9x+18=50+10x
\\\\
9x-10x=50-18
\\\\
-x=32
\\\\
x=-32
.\end{array}
