Let's assume the number is represented by "x."
1. "Double a number" can be written as 2x.
2. "Adding 6 to double a number" can be written as 2x + 6.
3. According to the equation, "adding 6 to double a number gives 20," we have the equation 2x + 6 = 20.
4. To isolate x, we can subtract 6 from both sides of the equation: 2x + 6 - 6 = 20 - 6, which simplifies to 2x = 14.
5. Finally, we can solve for x by dividing both sides of the equation by 2: 2x/2 = 14/2, which gives x = 7.
Therefore, the number is 7.