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x-\frac{14}{35}-\frac{15}{35}
Least common multiple of 5 and 7 is 35. Convert -\frac{2}{5} and \frac{3}{7} to fractions with denominator 35.
x+\frac{-14-15}{35}
Since -\frac{14}{35} and \frac{15}{35} have the same denominator, subtract them by subtracting their numerators.
x-\frac{29}{35}
Subtract 15 from -14 to get -29.
\frac{35x-29}{35}
Factor out \frac{1}{35}.
35x-29
Consider 35x-14-15. Multiply and combine like terms.
\frac{35x-29}{35}
Rewrite the complete factored expression.