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100\times 45=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.
4500=x\times 90
Multiply 100 and 45 to get 4500.
x\times 90=4500
Swap sides so that all variable terms are on the left hand side.
x=\frac{4500}{90}
Divide both sides by 90.
x=50
Divide 4500 by 90 to get 50.