Six decreased by twice a number is equal to 12

.

Let's translate the given statement into an algebraic equation.

- Let the unknown number be represented by \( x \).
- "Twice a number" can be written as \( 2x \).
- "Six decreased by twice a number" means \( 6 - 2x \).
- This expression is equal to 12.

So, the equation is:

\[
6 - 2x = 12
\]

Would you like me to solve this equation or provide further explanation?

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Here are some related questions to consider:
1. What if the statement was "Six increased by twice a number"? How would the equation change?
2. What if the equation was "Six decreased by three times a number is equal to 12"?
3. How would the equation look if the statement was "Six decreased by twice a number is equal to 18"?
4. How can we express "Six decreased by half a number is equal to 12" as an equation?
5. How would you solve the equation \( 6 - 2x = 8 \)?

**Tip:** Translating word problems into equations is a key step in algebra. Carefully identify and define the variables and operations described.

Learn how to solve the equation 'Six decreased by twice a number is equal to 12' with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations and algebraic operations. Suitable for students in Grades 7-9.

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