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I think of a number x, add 5 to it. The ...

I think of a number x, add 5 to it. The result is then multiplied by 2 and the final result is 24. The correct algebraic statement is

A

`x+5xx2=24`

B

`(x+5)xx2=24`

C

`2xx x+5=24`

D

`x+5=2xx24`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to translate the verbal statement into an algebraic equation. ### Step-by-Step Solution: 1. **Identify the unknown number**: - Let the unknown number be represented by \( x \). 2. **Add 5 to the number**: - According to the problem, we add 5 to the number \( x \). This can be expressed as: \[ x + 5 \] 3. **Multiply the result by 2**: - The next step is to multiply the result from step 2 by 2. This gives us: \[ 2(x + 5) \] 4. **Set the equation equal to 24**: - The final result of the multiplication is given as 24. Therefore, we can set up the equation: \[ 2(x + 5) = 24 \] 5. **Final algebraic statement**: - The correct algebraic statement that represents the situation described in the problem is: \[ 2(x + 5) = 24 \]
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