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x=\frac{3}{4}-\frac{1}{7}
Subtract \frac{1}{7} from both sides.
x=\frac{21}{28}-\frac{4}{28}
Least common multiple of 4 and 7 is 28. Convert \frac{3}{4} and \frac{1}{7} to fractions with denominator 28.
x=\frac{21-4}{28}
Since \frac{21}{28} and \frac{4}{28} have the same denominator, subtract them by subtracting their numerators.
x=\frac{17}{28}
Subtract 4 from 21 to get 17.