To solve the equation \( 16 = \frac{-2}{7}x \), we need to isolate \( x \).

### Step-by-step solution:

1. Start with the given equation:
   \[
   16 = \frac{-2}{7}x
   \]

2. Multiply both sides of the equation by \( \frac{7}{-2} \) (the reciprocal of \( \frac{-2}{7} \)) to eliminate the fraction:
   \[
   x = 16 \times \frac{7}{-2}
   \]

3. Simplify the multiplication:
   \[
   x = \frac{16 \times 7}{-2} = \frac{112}{-2} = -56
   \]

So, the solution is \( x = -56 \).

Would you like a deeper explanation or further details?

### Related Questions:
1. How do you solve similar equations with fractions?
2. What happens if the coefficient of \( x \) is a positive fraction instead?
3. How do you check your solution once you've found \( x \)?
4. Can this method be applied to equations with multiple fractions?
5. How do you handle negative numbers when multiplying or dividing fractions?

**Tip:** Always simplify fractions and eliminate them early to make solving the equation easier.

Learn how to solve the linear equation 16 = -2/7x with a detailed step-by-step solution. This problem involves algebraic concepts such as isolating variables, working with fractions, and handling negative coefficients. Suitable for students in Grades 7-9.

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