3(k-5)=5(k-9)

Solution for 3(k-5)=5(k-9) equation:

3(k-5)=5(k-9)

We simplify the equation to the form, which is simple to understand 
3(k-5)=5(k-9)

Reorder the terms in parentheses
+(+3k-15)=5*(k-9)

Remove unnecessary parentheses
+3k-15=+5+*(+k-9+)

Reorder the terms in parentheses
+3k-15=+(+5k-45)

Remove unnecessary parentheses
+3k-15=+5k-45

We move all terms containing k to the left and all other terms to the right. 
+3k-5k=-45+15

We simplify left and right side of the equation. 
-2k=-30

We divide both sides of the equation by -2 to get k. 
k=15