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-\frac{3}{5}x=-\frac{4}{3}+\frac{1}{2}
Add \frac{1}{2} to both sides.
-\frac{3}{5}x=-\frac{8}{6}+\frac{3}{6}
Least common multiple of 3 and 2 is 6. Convert -\frac{4}{3} and \frac{1}{2} to fractions with denominator 6.
-\frac{3}{5}x=\frac{-8+3}{6}
Since -\frac{8}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.
-\frac{3}{5}x=-\frac{5}{6}
Add -8 and 3 to get -5.
x=-\frac{5}{6}\left(-\frac{5}{3}\right)
Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.
x=\frac{-5\left(-5\right)}{6\times 3}
Multiply -\frac{5}{6} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{25}{18}
Do the multiplications in the fraction \frac{-5\left(-5\right)}{6\times 3}.