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What is the solution of the equation 5/2x = −1/8 ?(1 point)

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To solve the equation \(\frac{5}{2}x = -\frac{1}{8}\), you can follow these steps:

  1. Multiply both sides of the equation by the reciprocal of \(\frac{5}{2}\), which is \(\frac{2}{5}\):

\[ x = -\frac{1}{8} \times \frac{2}{5} \]

  1. Calculate the right-hand side:

\[ x = -\frac{2}{40} = -\frac{1}{20} \]

So, the solution of the equation \(\frac{5}{2}x = -\frac{1}{8}\) is

\[ x = -\frac{1}{20}. \]