Let's represent the unknown number as \( x \).
According to the problem, twice the number increased by 3 is equal to 7. This can be written 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.