Answer
x=6
Work Step by Step
We start by distributing. We have
$3(x+1)=9+2x$
$3x+3=9+2x$.
Now, we add (-2x) and (-3) to both sides to isolate $x$ and its coefficient.
We now have $x=6$.
To check, we substitute 6 (the answer) into the equation. We have $3((6)+1)=9+2(6)?$
$3(7)=9+12?$
$21=21$, which is true.