#### Answer

$s\gt\frac{5}{23}$

#### Work Step by Step

$8s+7\gt-3(5s-4)\longrightarrow$ multiply using the distributive property
$8s+7\gt-15s+12\longrightarrow$ add 15s to each side; subtract 7 from each side
$8s+7+15s-7\gt-15s+12+15s-7\longrightarrow$ combine like terms
$23s\gt5\longrightarrow$ divide each side by 23
$23s\div23\gt5\div23\longrightarrow$ divide
$s\gt\frac{5}{23}$