Questions: Translate the sentence into an equation. Twice the difference of a number and 8 is 5. Use the variable x for the unknown number.

Translate the sentence into an equation. Twice the difference of a number and 8 is 5. Use the variable x for the unknown number.
Transcript text: Translate the sentence into an equation. Twice the difference of a number and 8 is 5. Use the variable $x$ for the unknown number.
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Solution

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Solution Steps

Step 1: Identify the unknown number

The unknown number is represented by the variable \( x \).

Step 2: Translate "the difference of a number and 8"

The difference of a number and 8 is written as \( x - 8 \).

Step 3: Translate "twice the difference"

Twice the difference means multiplying the difference by 2, which gives \( 2(x - 8) \).

Step 4: Translate "is 5"

The phrase "is 5" translates to the equation being equal to 5. Thus, the final equation is: \[ 2(x - 8) = 5 \]

Final Answer

\(\boxed{2(x - 8) = 5}\)

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