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
- Set up the equation
From the problem statement, we can represent the unknown number as $x$. The equation based on the information given is:
$$ 7x - 4 = 24 $$
- 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:
$$ 7x = 28 $$
- Divide by 7
Now that we have $7x = 28$, we can solve for $x$ by dividing both sides of the equation by 7:
$$ x = \frac{28}{7} $$
- 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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