3(b-8)-5=9(b+2)+1

Solution for 3(b-8)-5=9(b+2)+1 equation:

3(b-8)-5=9(b+2)+1

We simplify the equation to the form, which is simple to understand 
3(b-8)-5=9(b+2)+1

Reorder the terms in parentheses
+(+3b-24)-5=9*(b+2)+1

Remove unnecessary parentheses
+3b-24-5=+9+*(+b+2+)+1

Reorder the terms in parentheses
+3b-24-5=+(+9b+18)+1

Remove unnecessary parentheses
+3b-24-5=+9b+18+1

We move all terms containing b to the left and all other terms to the right. 
+3b-9b=+18+1+24+5

We simplify left and right side of the equation. 
-6b=+48

We divide both sides of the equation by -6 to get b. 
b=-8