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27\times 16=x\times 18
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.
432=x\times 18
Multiply 27 and 16 to get 432.
x\times 18=432
Swap sides so that all variable terms are on the left hand side.
x=\frac{432}{18}
Divide both sides by 18.
x=24
Divide 432 by 18 to get 24.