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\frac{5}{4}x\times 1000=1500
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 1500x, the least common multiple of 4,1500,x.
\frac{5\times 1000}{4}x=1500
Express \frac{5}{4}\times 1000 as a single fraction.
\frac{5000}{4}x=1500
Multiply 5 and 1000 to get 5000.
1250x=1500
Divide 5000 by 4 to get 1250.
x=\frac{1500}{1250}
Divide both sides by 1250.
x=\frac{6}{5}
Reduce the fraction \frac{1500}{1250} to lowest terms by extracting and canceling out 250.