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10\times \frac{5}{2}=x
Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.
\frac{10\times 5}{2}=x
Express 10\times \frac{5}{2} as a single fraction.
\frac{50}{2}=x
Multiply 10 and 5 to get 50.
25=x
Divide 50 by 2 to get 25.
x=25
Swap sides so that all variable terms are on the left hand side.