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0.1x+0.2=0
Swap sides so that all variable terms are on the left hand side.
0.1x=-0.2
Subtract 0.2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-0.2}{0.1}
Divide both sides by 0.1.
x=-2
Expand \frac{-0.2}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.