Answer
$n=1$
Work Step by Step
The given equation is
$\Rightarrow -3n+2=2n-3$
Add $3n+3$ to each side.
$\Rightarrow -3n+2+3n+3=2n-3+3n+3$
Simplify.
$\Rightarrow 5=5n$
Divide each side by $5$.
$\Rightarrow \frac{5}{5}=\frac{5n}{5}$
Simplify.
$\Rightarrow 1=n$.
Check:- $n=1$
$\Rightarrow -3(1)+2=2(1)-3$
$\Rightarrow -3+2=2-3$
$\Rightarrow -1=-1$
True.
Hence, the solution is $n=1$.