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5x+3x=-\frac{2}{5}
Add 3x to both sides.
8x=-\frac{2}{5}
Combine 5x and 3x to get 8x.
x=\frac{-\frac{2}{5}}{8}
Divide both sides by 8.
x=\frac{-2}{5\times 8}
Express \frac{-\frac{2}{5}}{8} as a single fraction.
x=\frac{-2}{40}
Multiply 5 and 8 to get 40.
x=-\frac{1}{20}
Reduce the fraction \frac{-2}{40} to lowest terms by extracting and canceling out 2.