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\frac{1}{20}=0,1+x
Divide both sides by 20.
0,1+x=\frac{1}{20}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{20}-0,1
Subtract 0,1 from both sides.
x=\frac{1}{20}-\frac{1}{10}
Convert decimal number 0,1 to fraction \frac{1}{10}.
x=\frac{1}{20}-\frac{2}{20}
Least common multiple of 20 and 10 is 20. Convert \frac{1}{20} and \frac{1}{10} to fractions with denominator 20.
x=\frac{1-2}{20}
Since \frac{1}{20} and \frac{2}{20} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{1}{20}
Subtract 2 from 1 to get -1.