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12x+\frac{10}{8}=6
Multiply 10 and \frac{1}{8} to get \frac{10}{8}.
12x+\frac{5}{4}=6
Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.
12x=6-\frac{5}{4}
Subtract \frac{5}{4} from both sides.
12x=\frac{24}{4}-\frac{5}{4}
Convert 6 to fraction \frac{24}{4}.
12x=\frac{24-5}{4}
Since \frac{24}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.
12x=\frac{19}{4}
Subtract 5 from 24 to get 19.
x=\frac{\frac{19}{4}}{12}
Divide both sides by 12.
x=\frac{19}{4\times 12}
Express \frac{\frac{19}{4}}{12} as a single fraction.
x=\frac{19}{48}
Multiply 4 and 12 to get 48.