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n\left(-\frac{3}{2}\right)x=15
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
\left(-\frac{3x}{2}\right)n=15
The equation is in standard form.
\frac{\left(-\frac{3x}{2}\right)n}{-\frac{3x}{2}}=\frac{15}{-\frac{3x}{2}}
Divide both sides by -\frac{3}{2}x.
n=\frac{15}{-\frac{3x}{2}}
Dividing by -\frac{3}{2}x undoes the multiplication by -\frac{3}{2}x.
n=-\frac{10}{x}
Divide 15 by -\frac{3}{2}x.
n\left(-\frac{3}{2}\right)x=15
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
\left(-\frac{3n}{2}\right)x=15
The equation is in standard form.
\frac{\left(-\frac{3n}{2}\right)x}{-\frac{3n}{2}}=\frac{15}{-\frac{3n}{2}}
Divide both sides by -\frac{3}{2}n.
x=\frac{15}{-\frac{3n}{2}}
Dividing by -\frac{3}{2}n undoes the multiplication by -\frac{3}{2}n.
x=-\frac{10}{n}
Divide 15 by -\frac{3}{2}n.