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81\times \frac{2}{27}=x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 81x, the least common multiple of x,81.
\frac{81\times 2}{27}=x
Express 81\times \frac{2}{27} as a single fraction.
\frac{162}{27}=x
Multiply 81 and 2 to get 162.
6=x
Divide 162 by 27 to get 6.
x=6
Swap sides so that all variable terms are on the left hand side.