1/2(4k-2)=3(k+5)-3k

Solution for 1/2(4k-2)=3(k+5)-3k equation:

1/2(4k-2)=3(k+5)-3k

We simplify the equation to the form, which is simple to understand 
1/2(4k-2)=3(k+5)-3k

Reorder the terms in parentheses
+(+2k-1)=3*(k+5)-3k

Remove unnecessary parentheses
+2k-1=+3+*(+k+5+)-3k

Reorder the terms in parentheses
+2k-1=+(+3k+15)-3k

Remove unnecessary parentheses
+2k-1=+3k+15-3k

We move all terms containing k to the left and all other terms to the right. 
+2k-3k+3k=+15+1

We simplify left and right side of the equation. 
+2k=+16

We divide both sides of the equation by 2 to get k. 
k=8