To solve the equation \(-\frac{3}{5}x = \frac{2}{5}\), you'll want to isolate \(x\). Here's how to do it step by step:
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Multiply both sides by -1 to eliminate the negative sign on the left side: \[ \frac{3}{5}x = -\frac{2}{5} \]
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Multiply both sides by the reciprocal of \(\frac{3}{5}\), which is \(\frac{5}{3}\): \[ x = -\frac{2}{5} \cdot \frac{5}{3} \]
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Simplify the right side: \[ x = -\frac{2 \cdot 5}{5 \cdot 3} = -\frac{2}{3} \]
Therefore, the solution is: \[ x = -\frac{2}{3} \]