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100\times 1125=x\times 125
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.
112500=x\times 125
Multiply 100 and 1125 to get 112500.
x\times 125=112500
Swap sides so that all variable terms are on the left hand side.
x=\frac{112500}{125}
Divide both sides by 125.
x=900
Divide 112500 by 125 to get 900.