Juwan is thinking of a number. Twice the sum of Juwan’s number and 12 is equal to four less than three times Juwan’s number. What number is Juwan thinking of?(1 point)

Question

Responses

16
16 - no response given

5.6
5.6 - no response given

28
28 - no response given

20
20 - incorrect
Incorrect

To undo subtraction, use addition.

Answer 1

Let's denote Juwan's number as \( x \). According to the problem, we can set up the following equation:

\[ 2(x + 12) = 3x - 4 \]

Now, let's solve this equation step by step.

1. Distribute \( 2 \) on the left side:

\[ 2x + 24 = 3x - 4 \]

2. Next, we'll isolate \( x \) by subtracting \( 2x \) from both sides:

\[ 24 = 3x - 2x - 4 \]

This simplifies to:

\[ 24 = x - 4 \]

3. Now, add \( 4 \) to both sides to get \( x \):

\[ 24 + 4 = x \]

So,

\[ x = 28 \]

Thus, Juwan is thinking of the number 28.