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x-\frac{1}{8}=\frac{7}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{7}{3}+\frac{1}{8}
Add \frac{1}{8} to both sides.
x=\frac{56}{24}+\frac{3}{24}
Least common multiple of 3 and 8 is 24. Convert \frac{7}{3} and \frac{1}{8} to fractions with denominator 24.
x=\frac{56+3}{24}
Since \frac{56}{24} and \frac{3}{24} have the same denominator, add them by adding their numerators.
x=\frac{59}{24}
Add 56 and 3 to get 59.