Answer
r = 18
Work Step by Step
2r - (5 - r) = 13 + 2r
Use the distributive property:
2r - 5 + r = 13 + 2r
Subtract 2r from both sides of the equation to keep the variable (r) on one side of the equation.
2r - 5 + r - 2r = 13 + 2r - 2r
- 5 + r = 13
Add 5 to both sides of the equation.
- 5 + r + 5 = 13 + 5
r = 18
Check:
To check your answer, plug it into the original equation. In this case, replace r with 18 and solve.
2r - (5 - r) = 13 + 2r
2(18) - (5 - 18) = 13 + 2(18)
36 - 5 + 18 = 13 + 36
49 = 49
