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100\times 27=x\times 90
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
2700=x\times 90
Multiply 100 and 27 to get 2700.
x\times 90=2700
Swap sides so that all variable terms are on the left hand side.
x=\frac{2700}{90}
Divide both sides by 90.
x=30
Divide 2700 by 90 to get 30.