3(k+2)+1=-2(1-2k)

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

3(k+2)+1=-2(1-2k)

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

Reorder the terms in parentheses
+(+3k+6)+1=-2*(1-2k)

Remove unnecessary parentheses
+3k+6+1=-2+*(+1-2k+)

Reorder the terms in parentheses
+3k+6+1=+(-2+4k)

Remove unnecessary parentheses
+3k+6+1=-2+4k

We move all terms containing k to the left and all other terms to the right. 
+3k-4k=-2-6-1

We simplify left and right side of the equation. 
-1k=-9

We divide both sides of the equation by -1 to get k. 
k=9