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3\times 10-2\times 10=300x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 300x, the least common multiple of 100x,150x.
30-20=300x
Do the multiplications.
10=300x
Subtract 20 from 30 to get 10.
300x=10
Swap sides so that all variable terms are on the left hand side.
x=\frac{10}{300}
Divide both sides by 300.
x=\frac{1}{30}
Reduce the fraction \frac{10}{300} to lowest terms by extracting and canceling out 10.