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\frac{3}{8}\times 15=x
Multiply both sides by 15.
\frac{3\times 15}{8}=x
Express \frac{3}{8}\times 15 as a single fraction.
\frac{45}{8}=x
Multiply 3 and 15 to get 45.
x=\frac{45}{8}
Swap sides so that all variable terms are on the left hand side.