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3x+\frac{1}{3}-\frac{2}{3}
Combine 5x and -2x to get 3x.
3x+\frac{1-2}{3}
Since \frac{1}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.
3x-\frac{1}{3}
Subtract 2 from 1 to get -1.
\frac{9x-1}{3}
Factor out \frac{1}{3}.
9x-1
Consider 15x+1-6x-2. Multiply and combine like terms.
\frac{9x-1}{3}
Rewrite the complete factored expression.