Seven times a number minus 4 is 24. Find the number.

Understand the Problem

The question is asking to find a number based on the equation formed by seven times that number, minus 4, equaling 24. We will solve for the number by setting up a simple algebraic equation.

Answer

The number is $4$.
Answer for screen readers

The number we are looking for is $x = 4$.

Steps to Solve

  1. Set up the equation

From the problem statement, we can represent the unknown number as $x$. The equation based on the information given is:

$$ 7x - 4 = 24 $$

  1. Add 4 to both sides

To isolate the term with $x$, we first need to eliminate the $-4$ on the left side. We do this by adding 4 to both sides of the equation:

$$ 7x - 4 + 4 = 24 + 4 $$

This simplifies to:

$$ 7x = 28 $$

  1. Divide by 7

Now that we have $7x = 28$, we can solve for $x$ by dividing both sides of the equation by 7:

$$ x = \frac{28}{7} $$

  1. Calculate the final answer

Now perform the division:

$$ x = 4 $$

The number we are looking for is $x = 4$.

More Information

The solution indicates that the unknown number is 4. This means that if you multiply 4 by 7 and then subtract 4, you will indeed arrive at 24.

Tips

  • Forgetting to add or subtract the same value on both sides of the equation. Always remember that whatever you do to one side, you must do to the other.
  • Misunderstanding the operation: Remember that $-4$ indicates a subtraction, not addition. Ensure to check signs carefully.

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