Answer
$a=3$
Work Step by Step
$2a+5=9a-16\longrightarrow$ subtract 2a from each side; add 16 to each side
$2a+5-2a+16=9a-16-2a+16\longrightarrow$ combine like terms
$21=7a\longrightarrow$ divide each side by 7
$21\div7=7a\div7\longrightarrow$ simplify
$3=a$