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17\times 5=100x
Multiply both sides of the equation by 1700, the least common multiple of 100,17.
85=100x
Multiply 17 and 5 to get 85.
100x=85
Swap sides so that all variable terms are on the left hand side.
x=\frac{85}{100}
Divide both sides by 100.
x=\frac{17}{20}
Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.