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x=\frac{3}{5}-\frac{5}{9}
Subtract \frac{5}{9} from both sides.
x=\frac{27}{45}-\frac{25}{45}
Least common multiple of 5 and 9 is 45. Convert \frac{3}{5} and \frac{5}{9} to fractions with denominator 45.
x=\frac{27-25}{45}
Since \frac{27}{45} and \frac{25}{45} have the same denominator, subtract them by subtracting their numerators.
x=\frac{2}{45}
Subtract 25 from 27 to get 2.