Answer
$a\leq \frac{5}{2}$.
Work Step by Step
The given inequality is
$\Rightarrow 8a-7\leq 2(3a-1)$
Use distributive property.
$\Rightarrow 8a-7\leq 6a-2$
Add $7$ to each side.
$\Rightarrow 8a-7+7\leq 6a-2+7$
Simplify.
$\Rightarrow 8a\leq 6a+5$
Subtract $6a$ from each side.
$\Rightarrow 8a-6a\leq 6a+5-6a$
Simplify.
$\Rightarrow 2a\leq 5$
Divide each side by $2$.
$\Rightarrow \frac{2a}{2}\leq \frac{5}{2}$
Simplify.
$\Rightarrow a\leq \frac{5}{2}$.
