Question
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)
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.
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.
Answers
GPT-4o mini
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**.
\[ 2(x + 12) = 3x - 4 \]
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**.