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\frac{90}{x}=\frac{5.8}{1.9}
Divide both sides by 1.9.
\frac{90}{x}=\frac{58}{19}
Expand \frac{5.8}{1.9} by multiplying both numerator and the denominator by 10.
19\times 90=58x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 19x, the least common multiple of x,19.
1710=58x
Multiply 19 and 90 to get 1710.
58x=1710
Swap sides so that all variable terms are on the left hand side.
x=\frac{1710}{58}
Divide both sides by 58.
x=\frac{855}{29}
Reduce the fraction \frac{1710}{58} to lowest terms by extracting and canceling out 2.