Answer
$k=13\frac{1}{5}$
Work Step by Step
$\frac{7}{k-2}=\frac{5}{8}$ cross multiply
$7\times8=5(k-2)$ distributive property
$56=5k-10$ add 10 to both sides
$56+10=5k-10+10$ simplify
$66=5k$ divide both sides by 5
$66\div5=5k\div5$ simplify
$13\frac{1}{5}=k$