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x\times 300=500\times 400
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 500x, the least common multiple of 500,x.
x\times 300=200000
Multiply 500 and 400 to get 200000.
x=\frac{200000}{300}
Divide both sides by 300.
x=\frac{2000}{3}
Reduce the fraction \frac{200000}{300} to lowest terms by extracting and canceling out 100.