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10\times 16=x\times 100
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.
160=x\times 100
Multiply 10 and 16 to get 160.
x\times 100=160
Swap sides so that all variable terms are on the left hand side.
x=\frac{160}{100}
Divide both sides by 100.
x=\frac{8}{5}
Reduce the fraction \frac{160}{100} to lowest terms by extracting and canceling out 20.