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x\times 36.5=10\times 58.5
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 10,x.
x\times 36.5=585
Multiply 10 and 58.5 to get 585.
x=\frac{585}{36.5}
Divide both sides by 36.5.
x=\frac{5850}{365}
Expand \frac{585}{36.5} by multiplying both numerator and the denominator by 10.
x=\frac{1170}{73}
Reduce the fraction \frac{5850}{365} to lowest terms by extracting and canceling out 5.