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x+\frac{1}{24}=\frac{5}{6}
Combine 8x and -7x to get x.
x=\frac{5}{6}-\frac{1}{24}
Subtract \frac{1}{24} from both sides.
x=\frac{20}{24}-\frac{1}{24}
Least common multiple of 6 and 24 is 24. Convert \frac{5}{6} and \frac{1}{24} to fractions with denominator 24.
x=\frac{20-1}{24}
Since \frac{20}{24} and \frac{1}{24} have the same denominator, subtract them by subtracting their numerators.
x=\frac{19}{24}
Subtract 1 from 20 to get 19.