Let's denote the unknown number as \( x \). According to the problem:
Twice the number, increased by 3 is 7 can be expressed as the equation:
\[ 2x + 3 = 7. \]
Now, let's solve for \( x \).
- Subtract 3 from both sides:
\[ 2x + 3 - 3 = 7 - 3 \] \[ 2x = 4. \]
- Now divide both sides by 2:
\[ x = \frac{4}{2} \] \[ x = 2. \]
Thus, the unknown number is 2.