Translate mathematical sentence into symbol. Twice the difference between a number and 4 is equal to 20

The mathematical sentence "Twice the difference between a number and 4 is equal to 20" can be translated into symbols as:

\[
2(x - 4) = 20
\]

where \(x\) represents the unknown number.

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Here are 5 related questions to expand on this topic:

1. How do you solve the equation \(2(x - 4) = 20\)?
2. What happens if the equation was "three times the difference between a number and 4 equals 18"?
3. How do you express "the sum of a number and 5" in symbols?
4. How would you represent "twice the sum of a number and 3 equals 14" in symbols?
5. What does the expression \(x - 4\) represent in this context?

**Tip**: When translating word problems, identify key phrases like "twice," "difference," and "equal to," which correspond to mathematical operations.

Learn how to translate and solve the equation: Twice the difference between a number and 4 equals 20. This problem covers basic algebraic concepts and linear equations, suitable for students in Grades 6-8.

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