12(r-3)=5(13-r)+35

Solution for 12(r-3)=5(13-r)+35 equation:

12(r-3)=5(13-r)+35

We simplify the equation to the form, which is simple to understand 
12(r-3)=5(13-r)+35

Reorder the terms in parentheses
+(+12r-36)=5*(13-r)+35

Remove unnecessary parentheses
+12r-36=+5+*(+13-r+)+35

Reorder the terms in parentheses
+12r-36=+(+65-5r)+35

Remove unnecessary parentheses
+12r-36=+65-5r+35

We move all terms containing r to the left and all other terms to the right. 
+12r+5r=+65+35+36

We simplify left and right side of the equation. 
+17r=+136

We divide both sides of the equation by 17 to get r. 
r=8