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x\times 0.1=2\times 0.5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.
x\times 0.1=1
Multiply 2 and 0.5 to get 1.
x=\frac{1}{0.1}
Divide both sides by 0.1.
x=10
Expand \frac{1}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.