5-2(3-r)=2(2r+5)+1

Solution for 5-2(3-r)=2(2r+5)+1 equation:

5-2(3-r)=2(2r+5)+1

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

Reorder the terms in parentheses
5+(-6+2r)=2*(2r+5)+1

Remove unnecessary parentheses
+5-6+2r=+2+*(+2r+5+)+1

Reorder the terms in parentheses
5-6+2r=+(+4r+10)+1

Remove unnecessary parentheses
+5-6+2r=+4r+10+1

We move all terms containing r to the left and all other terms to the right. 
+2r-4r=+10+1-5+6

We simplify left and right side of the equation. 
-2r=+12

We divide both sides of the equation by -2 to get r. 
r=-6