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1=1.5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
1.5x=1
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{1.5}
Divide both sides by 1.5.
x=\frac{10}{15}
Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.
x=\frac{2}{3}
Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.