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\frac{3}{2}x-2.5=0
Subtract 1 from -1.5 to get -2.5.
\frac{3}{2}x=2.5
Add 2.5 to both sides. Anything plus zero gives itself.
x=2.5\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{5}{2}\times \frac{2}{3}
Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
x=\frac{5\times 2}{2\times 3}
Multiply \frac{5}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{5}{3}
Cancel out 2 in both numerator and denominator.