To solve the equation \( \frac{4}{3}x = -\frac{6}{5} \), follow these steps:
-
Multiply both sides of the equation by the reciprocal of \( \frac{4}{3} \) which is \( \frac{3}{4} \): \[ x = -\frac{6}{5} \cdot \frac{3}{4} \]
-
Now perform the multiplication on the right side: \[ x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20} \]
-
Simplify \( -\frac{18}{20} \): \[ x = -\frac{9}{10} \]
Thus, the solution to the equation \( \frac{4}{3}x = -\frac{6}{5} \) is: \[ x = -\frac{9}{10} \]