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9x=5\times 6
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of 5,x.
9x=30
Multiply 5 and 6 to get 30.
x=\frac{30}{9}
Divide both sides by 9.
x=\frac{10}{3}
Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.