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3\times 6=x\times 12
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 x,3.
18=x\times 12
Multiply 3 and 6 to get 18.
x\times 12=18
Swap sides so that all variable terms are on the left hand side.
x=\frac{18}{12}
Divide both sides by 12.
x=\frac{3}{2}
Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.