Answer
$a=5$
Work Step by Step
We start with the given equation: $-2a+5a-4=11$
We add $4$ to both sides of the equation: $-2a+5a-4+4=11+4$
We combine like terms on both sides of the equation: $3a=15$
Finally, we divide by $3$ on both sides of the equation: $a=\frac{15}{3}=5$