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

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

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

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

Reorder the terms in parentheses
+(+2-4b)=-b+2*(3b+1)

Remove unnecessary parentheses
+2-4b=-b+2+*(+3b+1+)

Reorder the terms in parentheses
+2-4b=-b+(+6b+2)

Remove unnecessary parentheses
+2-4b=-b+6b+2

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

We simplify left and right side of the equation. 
-9b=0

We divide both sides of the equation by -9 to get b. 
b=-0