What number, when subtracted by 7 and then multiplied by four, equals 12?

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To solve the equation described, we can break down the problem step by step. The statement says that four times the difference of a number (let’s call it x) and 7 is equal to 12. We can express this mathematically as:

4(x – 7) = 12

Now, let’s solve for x:

  1. First, divide both sides of the equation by 4 to isolate the term inside the parentheses:

    2. x – 7 = 3

  2. Next, add 7 to both sides to solve for x:

    3. x = 3 + 7

  3. This simplifies to:

    4. x = 10

Therefore, the number you are looking for is 10. To verify, you can plug it back into the original equation:

4(10 – 7) = 12, which simplifies to 4(3) = 12, confirming that our solution is correct.

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