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What is the solution of the equation 4/3x=−6/5

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To solve the equation \( \frac{4}{3}x = -\frac{6}{5} \), you can follow these steps:

  1. Multiply both sides by the reciprocal of \(\frac{4}{3}\), which is \(\frac{3}{4}\):

\[ x = -\frac{6}{5} \cdot \frac{3}{4} \]

  1. Multiply the fractions:

\[ x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20} \]

  1. Simplify the fraction:

\[ x = -\frac{9}{10} \]

Thus, the solution to the equation \( \frac{4}{3}x = -\frac{6}{5} \) is:

\[ x = -\frac{9}{10} \]