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\frac{10}{2}x=\frac{125}{8}
Multiply 10 and \frac{1}{2} to get \frac{10}{2}.
5x=\frac{125}{8}
Divide 10 by 2 to get 5.
x=\frac{\frac{125}{8}}{5}
Divide both sides by 5.
x=\frac{125}{8\times 5}
Express \frac{\frac{125}{8}}{5} as a single fraction.
x=\frac{125}{40}
Multiply 8 and 5 to get 40.
x=\frac{25}{8}
Reduce the fraction \frac{125}{40} to lowest terms by extracting and canceling out 5.