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 $x = -56$.

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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.