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27\times 3=X\times 9
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.
81=X\times 9
Multiply 27 and 3 to get 81.
X\times 9=81
Swap sides so that all variable terms are on the left hand side.
X=\frac{81}{9}
Divide both sides by 9.
X=9
Divide 81 by 9 to get 9.