Answer
$n=21$
Work Step by Step
Using the properties of equality, the value of the variable that satisfies the given equation, $
5(n-1)-4(n+2)=-3(n-1)+3n+5
,$ is
\begin{array}{l}\require{cancel}
5n-5-4n-8=-3n+3+3n+5
\\\\
5n-4n+3n-3n=3+5+5+8
\\\\
n=21
.\end{array}