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6x=5\times 10
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.
6x=50
Multiply 5 and 10 to get 50.
x=\frac{50}{6}
Divide both sides by 6.
x=\frac{25}{3}
Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.