Answer :

Sure, let's solve the problem step-by-step.

1. Choose a Number:
Let's start with choosing a number. For this example, we'll call our number [tex]\( x \)[/tex].

2. Calculate Twice the Number:
Next, we need to find twice this number. To do that, we multiply [tex]\( x \)[/tex] by 2.

[tex]\[ \text{Twice the number} = 2 \times x \][/tex]

3. Add Five to the Result:
After calculating twice the number, increase that result by 5.

[tex]\[ \text{Result} = (2 \times x) + 5 \][/tex]

4. Verification with an Example:
To make this more concrete, let's choose a specific number for [tex]\( x \)[/tex]. Let's use [tex]\( x = 7 \)[/tex]:

- Calculate twice the number:
[tex]\[ 2 \times 7 = 14 \][/tex]

- Increase this result by 5:
[tex]\[ 14 + 5 = 19 \][/tex]

So, for the number [tex]\( x = 7 \)[/tex], twice the number is 14, and when increased by five, the result is 19.

Thus, the detailed solution based on these steps is:
- Twice the number is 14.
- The final result, after increasing this by 5, is 19.