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5x=-\frac{3}{2}\times 3
Multiply both sides by 3.
5x=\frac{-3\times 3}{2}
Express -\frac{3}{2}\times 3 as a single fraction.
5x=\frac{-9}{2}
Multiply -3 and 3 to get -9.
5x=-\frac{9}{2}
Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.
x=\frac{-\frac{9}{2}}{5}
Divide both sides by 5.
x=\frac{-9}{2\times 5}
Express \frac{-\frac{9}{2}}{5} as a single fraction.
x=\frac{-9}{10}
Multiply 2 and 5 to get 10.
x=-\frac{9}{10}
Fraction \frac{-9}{10} can be rewritten as -\frac{9}{10} by extracting the negative sign.