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15x=25\left(-\frac{3}{5}\right)x-25
Use the distributive property to multiply 25 by -\frac{3}{5}x-1.
15x=\frac{25\left(-3\right)}{5}x-25
Express 25\left(-\frac{3}{5}\right) as a single fraction.
15x=\frac{-75}{5}x-25
Multiply 25 and -3 to get -75.
15x=-15x-25
Divide -75 by 5 to get -15.
15x+15x=-25
Add 15x to both sides.
30x=-25
Combine 15x and 15x to get 30x.
x=\frac{-25}{30}
Divide both sides by 30.
x=-\frac{5}{6}
Reduce the fraction \frac{-25}{30} to lowest terms by extracting and canceling out 5.