Determine the unknown number.

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.

1 answer

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 \( x \).

  1. Subtract 3 from both sides:

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

  1. Now divide both sides by 2:

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

Thus, the unknown number is 2.

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