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5x-\frac{1}{8}-\frac{24}{8}
Convert 3 to fraction \frac{24}{8}.
5x+\frac{-1-24}{8}
Since -\frac{1}{8} and \frac{24}{8} have the same denominator, subtract them by subtracting their numerators.
5x-\frac{25}{8}
Subtract 24 from -1 to get -25.
\frac{40x-25}{8}
Factor out \frac{1}{8}.
40x-25
Consider 40x-1-24. Multiply and combine like terms.
5\left(8x-5\right)
Consider 40x-25. Factor out 5.
\frac{5\left(8x-5\right)}{8}
Rewrite the complete factored expression.