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5\times \frac{1}{1000}=2\times 1x
Calculate 10 to the power of -3 and get \frac{1}{1000}.
\frac{1}{200}=2\times 1x
Multiply 5 and \frac{1}{1000} to get \frac{1}{200}.
\frac{1}{200}=2x
Multiply 2 and 1 to get 2.
2x=\frac{1}{200}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{1}{200}}{2}
Divide both sides by 2.
x=\frac{1}{200\times 2}
Express \frac{\frac{1}{200}}{2} as a single fraction.
x=\frac{1}{400}
Multiply 200 and 2 to get 400.