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x=\frac{1}{2}-\frac{3}{7}
Subtract \frac{3}{7} from both sides.
x=\frac{7}{14}-\frac{6}{14}
Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{3}{7} to fractions with denominator 14.
x=\frac{7-6}{14}
Since \frac{7}{14} and \frac{6}{14} have the same denominator, subtract them by subtracting their numerators.
x=\frac{1}{14}
Subtract 6 from 7 to get 1.