Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises - Page 106: 25

r=18

$ 2r-(5-r)=13+2r \\\\ 2r-5+r=13+2r \\\\ 3r-5=13+2r \\\\r-5=13 \\\\ r=18$ We first use the distributive property and combine like terms on the left side of the equation to simplify. We then subtract by 2r on both sides. Next, we add 5 to both sides to get that r=18. We plug 18 in for r and confirm that our answer is, indeed, correct.