Problem

What value of $x$ makes this equation true?
\[
\frac{4}{7}=-\frac{8}{x}
\]

Answer

Expert–verified
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Answer

\(\boxed{x = -14}\)

Steps

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 :\(\boxed{x = -14}\)

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