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\frac{20}{0.1}=100+x
Divide both sides by 0.1.
200=100+x
Expand \frac{20}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.
100+x=200
Swap sides so that all variable terms are on the left hand side.
x=200-100
Subtract 100 from both sides.
x=100
Subtract 100 from 200 to get 100.