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2x+2=\frac{1}{10}
Divide both sides by 10.
2x=\frac{1}{10}-2
Subtract 2 from both sides.
2x=\frac{1}{10}-\frac{20}{10}
Convert 2 to fraction \frac{20}{10}.
2x=\frac{1-20}{10}
Since \frac{1}{10} and \frac{20}{10} have the same denominator, subtract them by subtracting their numerators.
2x=-\frac{19}{10}
Subtract 20 from 1 to get -19.
x=\frac{-\frac{19}{10}}{2}
Divide both sides by 2.
x=\frac{-19}{10\times 2}
Express \frac{-\frac{19}{10}}{2} as a single fraction.
x=\frac{-19}{20}
Multiply 10 and 2 to get 20.
x=-\frac{19}{20}
Fraction \frac{-19}{20} can be rewritten as -\frac{19}{20} by extracting the negative sign.