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

20
20

28
28

16
16

5.6

Answer 1

Let's represent Juwan's number with the variable \( x \). According to the information provided, we can set up the following equation:

Twice the sum of Juwan’s number and 12 can be expressed as: \[ 2(x + 12) \]

Four less than three times Juwan’s number is: \[ 3x - 4 \]

Setting the two expressions equal to each other gives us: \[ 2(x + 12) = 3x - 4 \]

Now we can solve the equation step by step:

1. Distribute the 2 on the left side: \[ 2x + 24 = 3x - 4 \]

2. Rearrange the equation to isolate \( x \):

   • Subtract \( 2x \) from both sides: \[ 24 = x - 4 \]

3. Add 4 to both sides: \[ 28 = x \]

Thus, Juwan is thinking of the number 28.