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\frac{19}{36}\left(165-60\right)=60x
Reduce the fraction \frac{38}{72} to lowest terms by extracting and canceling out 2.
\frac{19}{36}\times 105=60x
Subtract 60 from 165 to get 105.
\frac{19\times 105}{36}=60x
Express \frac{19}{36}\times 105 as a single fraction.
\frac{1995}{36}=60x
Multiply 19 and 105 to get 1995.
\frac{665}{12}=60x
Reduce the fraction \frac{1995}{36} to lowest terms by extracting and canceling out 3.
60x=\frac{665}{12}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{665}{12}}{60}
Divide both sides by 60.
x=\frac{665}{12\times 60}
Express \frac{\frac{665}{12}}{60} as a single fraction.
x=\frac{665}{720}
Multiply 12 and 60 to get 720.
x=\frac{133}{144}
Reduce the fraction \frac{665}{720} to lowest terms by extracting and canceling out 5.