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x=-\frac{4}{5}-\frac{1}{10}
Subtract \frac{1}{10} from both sides.
x=-\frac{8}{10}-\frac{1}{10}
Least common multiple of 5 and 10 is 10. Convert -\frac{4}{5} and \frac{1}{10} to fractions with denominator 10.
x=\frac{-8-1}{10}
Since -\frac{8}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{9}{10}
Subtract 1 from -8 to get -9.