Let 

*x*

 represent an unknown number. Write an equation that represents the given statement. Then find the value of the unknown number.

Negative three more than 

9

 times a number is 

15

. Find the number.

To translate the statement into an equation, follow these steps:

1. **Identify the unknown number:** Let the unknown number be represented by \( x \).
  
2. **Translate the words into a mathematical equation:**
   - "9 times a number" translates to \( 9x \).
   - "Negative three more than" means adding \(-3\) to \( 9x \).
   - The statement "is 15" means the expression equals 15.

So, the equation is:

\[
9x - 3 = 15
\]

3. **Solve for \( x \):**
   - First, add 3 to both sides to isolate the term with \( x \):

\[
9x - 3 + 3 = 15 + 3
\]

\[
9x = 18
\]

   - Next, divide both sides by 9 to solve for \( x \):

\[
x = \frac{18}{9}
\]

\[
x = 2
\]

So, the unknown number \( x \) is \( 2 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you set up an equation for "5 more than 4 times a number is 17"?
2. What would the equation be if the statement was "Negative five less than 7 times a number is 9"?
3. If the equation was \( 8x - 4 = 20 \), what would the value of \( x \) be?
4. How would the equation change if the number was multiplied by 12 instead of 9?
5. What if the equation was \( 9x + 3 = 15 \), how would you solve it?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the equation 9 times a number minus 3 equals 15 with a detailed step-by-step solution. This problem covers basic equation solving and operations with numbers. Suitable for students in Grades 6-8.

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