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\frac{10}{0.2}=100+x
Divide both sides by 0.2.
\frac{100}{2}=100+x
Expand \frac{10}{0.2} by multiplying both numerator and the denominator by 10.
50=100+x
Divide 100 by 2 to get 50.
100+x=50
Swap sides so that all variable terms are on the left hand side.
x=50-100
Subtract 100 from both sides.
x=-50
Subtract 100 from 50 to get -50.