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5x=3\times 100
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of 3,x.
5x=300
Multiply 3 and 100 to get 300.
x=\frac{300}{5}
Divide both sides by 5.
x=60
Divide 300 by 5 to get 60.