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6\times 100=150x\times 30
Multiply both sides by 100.
600=150x\times 30
Multiply 6 and 100 to get 600.
600=4500x
Multiply 150 and 30 to get 4500.
4500x=600
Swap sides so that all variable terms are on the left hand side.
x=\frac{600}{4500}
Divide both sides by 4500.
x=\frac{2}{15}
Reduce the fraction \frac{600}{4500} to lowest terms by extracting and canceling out 300.