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\frac{1.5}{1-0.5}=x
Subtract 0.5 from 2 to get 1.5.
\frac{1.5}{0.5}=x
Subtract 0.5 from 1 to get 0.5.
\frac{15}{5}=x
Expand \frac{1.5}{0.5} by multiplying both numerator and the denominator by 10.
3=x
Divide 15 by 5 to get 3.
x=3
Swap sides so that all variable terms are on the left hand side.