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

16
16

28
28

5.6

Answer 1

Let Juwan's number be represented by \( x \). According to the problem, we can translate the statement into an equation. The phrase "Twice the sum of Juwan’s number and 12" can be expressed as \( 2(x + 12) \), and "four less than three times Juwan’s number" can be expressed as \( 3x - 4 \).

Setting these two expressions equal to each other gives us the equation:

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

Now, let's solve for \( x \):

1. Distribute on the left side:

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

2. Move the \( 2x \) to the right side:

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

3. Simplify:

\[ 24 = x - 4 \]

4. Add 4 to both sides:

\[ 24 + 4 = x \]

\[ x = 28 \]

Thus, Juwan's number is \( \boxed{28} \).