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

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To find the number x where the product of 2 and x equals 12 minus x, the equation 2x = 12 - x is established. By adding x to both sides, the equation simplifies to 3x = 12. Dividing both sides by 3 yields x = 4. Thus, the number that satisfies the condition is 4.
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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?
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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