Determine the unknown number.

Twice a number, increased by 3 is 7.

(1 point)
Responses

The number is 2.

The number is 8.

The number is 20.

The number is 5.

1 answer

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 \( x \).

  1. Subtract 3 from both sides: \[ 2x + 3 - 3 = 7 - 3 \] \[ 2x = 4 \]

  2. Now, divide both sides by 2: \[ x = \frac{4}{2} \] \[ x = 2 \]

Thus, the unknown number is 2.