Problem
What value of $x$ makes this equation true? \[ \frac{4}{7}=-\frac{8}{x} \]
Solution
Step 1 ：Cross-multiply the equation: \(4x = -8 \times 7\)
Step 2 ：Simplify the equation: \(4x = -56\)
Step 3 ：Solve for x: \(x = \frac{-56}{4}\)
Step 4 ：\(\boxed{x = -14}\)
