Find the Number When 2 and 12 Subtract the Number are Equal

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In summary, the equation for "Find the Number When 2 and 12 Subtract the Number are Equal" is x - 2 = 12 - x. To solve this equation, you must combine like terms and divide both sides by 2. This problem can have multiple solutions, such as x = 5 and x = -5. The equation can also be written as x + x = 12 + 2 and the solution represents the number that balances the equation.
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historywept
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The product of 2 and a number is the same as 12 subtract the number. Find the number.

If you could please help me with this, thank you.
 
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Call that number "x". Then "the product of 2 and a number" is 2x. "12 subtract the number" is 12- x. They are the same: 2x= 12- x.

To solve for x, start by adding x to both sides. What do you get?
 

1. What is the equation for "Find the Number When 2 and 12 Subtract the Number are Equal"?

The equation for this problem is: x - 2 = 12 - x

2. How do you solve "Find the Number When 2 and 12 Subtract the Number are Equal"?

To solve this equation, you must first combine like terms to get 2x = 10. Then, divide both sides by 2 to get x = 5.

3. Can this problem have more than one solution?

Yes, this problem can have multiple solutions. For example, if we use the equation x - 2 = 12 - x, we can also solve for x = -5.

4. Is there another way to write this equation?

Yes, this equation can also be written as x + x = 12 + 2, which simplifies to 2x = 14 and then x = 7.

5. What does the solution represent in this problem?

The solution represents the number that, when subtracted from 12, is equal to the number subtracted from 2. In other words, it is the number that balances the equation.

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