Two times a number increased by 5 equals 9.

Answer

To solve the equation "Two times a number increased by 5 equals 9," we can follow these steps:

### Step-by-Step Solution:

1. **Define the Variable**:
Let the unknown number be represented by \( x \).

2. **Translate the Problem into an Equation**:
The phrase "two times a number" translates to \( 2x \).
The phrase "increased by 5" means we add 5 to \( 2x \).
Therefore, we can write the equation as:
\[ 2x + 5 = 9 \]

3. **Isolate the Variable**:
To isolate \( 2x \), we need to eliminate the constant term (5) from the left side. We do this by subtracting 5 from both sides of the equation:
\[ 2x + 5 - 5 = 9 - 5 \]
Simplifying this gives:
\[ 2x = 4 \]

4. **Solve for \( x \)**:
Now, we need to solve for \( x \) by dividing both sides of the equation by 2:
\[ \frac{2x}{2} = \frac{4}{2} \]
This simplifies to:
\[ x = 2 \]

5. **Conclusion**:
The number we were looking for is \( 2 \).