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6x=5\times 2
Multiply both sides of the equation by 30, the least common multiple of 5,6.
6x=10
Multiply 5 and 2 to get 10.
x=\frac{10}{6}
Divide both sides by 6.
x=\frac{5}{3}
Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.