Determine the unknown number.

Question

Twice a number, increased by 3 is 7.

(1 point)
Responses

The number is 2.
The number is 2.

The number is 8.
The number is 8.

The number is 20.
The number is 20.

The number is 5.
The number is 5.

Answer 1

Let's denote the unknown number as \( x \).

According to the problem, we have the equation:

\[ 2x + 3 = 7 \]

Now, we can solve for \( x \):

1. Subtract 3 from both sides:

\[ 2x = 7 - 3 \] \[ 2x = 4 \]

2. Divide both sides by 2:

\[ x = \frac{4}{2} \] \[ x = 2 \]

Therefore, the unknown number is 2.

The correct response is: The number is 2.