Answer
$\boxed {s > \frac{5}{23}}$
Work Step by Step
First, let's multiply $-3$ by $(5s - 4)$
$$8s + 7 \gt -15s + 12$$
Let's add $15s$ to each side.
$$23s + 7 > 12$$
Now, let's subtract 7 from each side.
$$23s > 5$$
When we divide both sides by 23, we get the answer.
$\boxed {s > \frac{5}{23}}$