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100\times 400=x\times 300
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.
40000=x\times 300
Multiply 100 and 400 to get 40000.
x\times 300=40000
Swap sides so that all variable terms are on the left hand side.
x=\frac{40000}{300}
Divide both sides by 300.
x=\frac{400}{3}
Reduce the fraction \frac{40000}{300} to lowest terms by extracting and canceling out 100.