Answer
\[x=6\]
Work Step by Step
Consider the equation\[4x+9=33\].
Subtract 33 from both the sides
\[4x+9-33=33-33\]
This gives
\[4x-24=0\]
Add 24 on both the sides
\[4x=24\]
Divide both the sides by 4
\[x=6\]
Now, to check it, put \[x=6\]in the equation
\[\begin{align}
& 4\left( 6 \right)+9=33 \\
& 33=33 \\
\end{align}\]
which is true.
Hence, the solution of the given equation is \[x=6\].