Question

Solving Linear Equations Online Practice
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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

5.6
5.6

28
28

20
20

16

Answer 1

Let's solve the equation step by step to find the number Juwan is thinking of.

Let \( x \) be the number Juwan is thinking of.

According to the problem, we can set up the equation as follows:

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

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

Now, we can set the two expressions equal to each other:

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

Now, let's distribute and simplify the equation:

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

Next, we can isolate \( x \) by first subtracting \( 2x \) from both sides:

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

Now, add 4 to both sides:

\[ 24 + 4 = x \]
\[ x = 28 \]

So, the number Juwan is thinking of is **28**.

Therefore, the correct response is **28**.