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27\times 2=x\times 3
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 27x, the least common multiple of x,27.
54=x\times 3
Multiply 27 and 2 to get 54.
x\times 3=54
Swap sides so that all variable terms are on the left hand side.
x=\frac{54}{3}
Divide both sides by 3.
x=18
Divide 54 by 3 to get 18.