Problem

What value of $x$ makes this equation true?
\[
\frac{4}{7}=-\frac{8}{x}
\]
14
11
$-11$
$-14$

Answer

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Hide Steps

Answer

\(\boxed{-14}\)

Steps

Step 1 ：Cross-multiply the equation: \(4x = -8 \times 7\)

Step 2 ：Simplify the equation: \(4x = -56\)

Step 3 ：Divide both sides by 4: \(x = \frac{-56}{4}\)

Step 4 ：Simplify the fraction: \(x = -14\)

Step 5 ：\(\boxed{-14}\)

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