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x=\frac{1}{6}-\frac{7}{8}
Subtract \frac{7}{8} from both sides.
x=\frac{4}{24}-\frac{21}{24}
Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{7}{8} to fractions with denominator 24.
x=\frac{4-21}{24}
Since \frac{4}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{17}{24}
Subtract 21 from 4 to get -17.