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\frac{5}{7}x=\frac{1}{14}
Combine x and -\frac{2}{7}x to get \frac{5}{7}x.
x=\frac{1}{14}\times \frac{7}{5}
Multiply both sides by \frac{7}{5}, the reciprocal of \frac{5}{7}.
x=\frac{1\times 7}{14\times 5}
Multiply \frac{1}{14} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{7}{70}
Do the multiplications in the fraction \frac{1\times 7}{14\times 5}.
x=\frac{1}{10}
Reduce the fraction \frac{7}{70} to lowest terms by extracting and canceling out 7.