To solve the equation \( \frac{4}{3} x = -\frac{6}{5} \), you need to isolate \( x \).
Here are the steps to do that:
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Multiply both sides of the equation by the reciprocal of \( \frac{4}{3} \), which is \( \frac{3}{4} \): \[ x = -\frac{6}{5} \cdot \frac{3}{4} \]
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Now perform the multiplication: \[ x = -\frac{6 \times 3}{5 \times 4} = -\frac{18}{20} \]
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Simplify the fraction \( -\frac{18}{20} \): \[ x = -\frac{9}{10} \]
Thus, the solution of the equation is: \[ x = -\frac{9}{10} \]