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100\times 50=x\times 15
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
5000=x\times 15
Multiply 100 and 50 to get 5000.
x\times 15=5000
Swap sides so that all variable terms are on the left hand side.
x=\frac{5000}{15}
Divide both sides by 15.
x=\frac{1000}{3}
Reduce the fraction \frac{5000}{15} to lowest terms by extracting and canceling out 5.