Problem 13 - Algebra 1: Concepts and Skills

Question

Solve the equation. $$r-(-2)=5$$

Step-by-Step Solution

Answer

The solution to the equation \(r-(-2)=5\) is \(r=3\).

Step 1: Simplify Inside Parentheses

Looking at the equation \(r-(-2)=5\), the first place to start is to simplify whatever is inside the parentheses. Here, there's a -2 inside brackets which just becomes +2 when removed from brackets i.e., \(r+2=5\).

Step 2: Subtract 2 from Both Sides

As a rule of thumb, always try to isolate the variable on one side of the equation. In order to do this here, subtract 2 from both sides of the equation. This way, the equation simplifies to \(r=5-2\).

Step 3: Calculate r

Finally, subtract 2 from 5 by doing \(5-2=3\). So, \(r=3\).