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600=1000x
Multiply both sides of the equation by 100000, the least common multiple of 100000,100.
1000x=600
Swap sides so that all variable terms are on the left hand side.
x=\frac{600}{1000}
Divide both sides by 1000.
x=\frac{3}{5}
Reduce the fraction \frac{600}{1000} to lowest terms by extracting and canceling out 200.