Answer
\[x=2\]
Work Step by Step
Consider the equation\[3\left( 2x-4 \right)=9-3\left( x+1 \right)\].
Apply the distributive law as follows:
\[6x-12=9-3x-3\]
Or,
\[6x-12=6-3x\]
Add \[3x\]on both sides to get,
\[9x-12=6\]
Add \[12\]on both sides to get,
\[9x=18\]
Divide both sides by 9 to get,
\[\begin{align}
& x=\frac{18}{9} \\
& =2
\end{align}\]
Hence, the solution of the given equation is\[x=2\].
