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\frac{5x-3x+15}{15}
Factor out \frac{1}{15}.
2x+15
Consider 5x-3x+15. Multiply and combine like terms.
\frac{2x+15}{15}
Rewrite the complete factored expression.
\frac{2}{15}x+1
Combine \frac{x}{3} and -\frac{x}{5} to get \frac{2}{15}x.