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x-\frac{174}{60}=17\times \frac{1}{60}
Multiply 174 and \frac{1}{60} to get \frac{174}{60}.
x-\frac{29}{10}=17\times \frac{1}{60}
Reduce the fraction \frac{174}{60} to lowest terms by extracting and canceling out 6.
x-\frac{29}{10}=\frac{17}{60}
Multiply 17 and \frac{1}{60} to get \frac{17}{60}.
x=\frac{17}{60}+\frac{29}{10}
Add \frac{29}{10} to both sides.
x=\frac{17}{60}+\frac{174}{60}
Least common multiple of 60 and 10 is 60. Convert \frac{17}{60} and \frac{29}{10} to fractions with denominator 60.
x=\frac{17+174}{60}
Since \frac{17}{60} and \frac{174}{60} have the same denominator, add them by adding their numerators.
x=\frac{191}{60}
Add 17 and 174 to get 191.