To solve the equation \( 20 = 5 - \frac{3}{8}x \), follow these steps:
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Subtract 5 from both sides: \[ 20 - 5 = -\frac{3}{8}x \] This simplifies to: \[ 15 = -\frac{3}{8}x \]
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Next, multiply both sides by \(-\frac{8}{3}\) to isolate \(x\): \[ x = 15 \cdot -\frac{8}{3} \]
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Calculate the right side: \[ x = -\frac{120}{3} = -40 \]
Thus, the solution is: \[ \boxed{-40} \]