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-\frac{3}{10}x=-\frac{17}{5}
Subtract \frac{17}{5} from both sides. Anything subtracted from zero gives its negation.
x=-\frac{17}{5}\left(-\frac{10}{3}\right)
Multiply both sides by -\frac{10}{3}, the reciprocal of -\frac{3}{10}.
x=\frac{-17\left(-10\right)}{5\times 3}
Multiply -\frac{17}{5} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{170}{15}
Do the multiplications in the fraction \frac{-17\left(-10\right)}{5\times 3}.
x=\frac{34}{3}
Reduce the fraction \frac{170}{15} to lowest terms by extracting and canceling out 5.