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x=\frac{5}{6}x+\frac{1}{8}x+1
Combine \frac{1}{2}x and \frac{1}{3}x to get \frac{5}{6}x.
x=\frac{23}{24}x+1
Combine \frac{5}{6}x and \frac{1}{8}x to get \frac{23}{24}x.
x-\frac{23}{24}x=1
Subtract \frac{23}{24}x from both sides.
\frac{1}{24}x=1
Combine x and -\frac{23}{24}x to get \frac{1}{24}x.
x=1\times 24
Multiply both sides by 24, the reciprocal of \frac{1}{24}.
x=24
Multiply 1 and 24 to get 24.