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What is the solution of the equation 8/5 x = −10

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To solve the equation \( \frac{8}{5} x = -10 \), you can follow these steps:

  1. Multiply both sides by the reciprocal of \( \frac{8}{5} \), which is \( \frac{5}{8} \):

\[ x = -10 \cdot \frac{5}{8} \]

  1. Calculate the right-hand side:

\[ x = -\frac{50}{8} \]

  1. Simplify the fraction:

\[ x = -\frac{25}{4} \]

Thus, the solution to the equation is

\[ x = -\frac{25}{4} \quad \text{or} \quad -6.25. \]