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0.1=x\times 0.5
Multiply 0.01 and 10 to get 0.1.
x\times 0.5=0.1
Swap sides so that all variable terms are on the left hand side.
x=\frac{0.1}{0.5}
Divide both sides by 0.5.
x=\frac{1}{5}
Expand \frac{0.1}{0.5} by multiplying both numerator and the denominator by 10.