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100\times 53=x\times 75
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.
5300=x\times 75
Multiply 100 and 53 to get 5300.
x\times 75=5300
Swap sides so that all variable terms are on the left hand side.
x=\frac{5300}{75}
Divide both sides by 75.
x=\frac{212}{3}
Reduce the fraction \frac{5300}{75} to lowest terms by extracting and canceling out 25.