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4x=3\times 6
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.
4x=18
Multiply 3 and 6 to get 18.
x=\frac{18}{4}
Divide both sides by 4.
x=\frac{9}{2}
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.