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x+3=6\times \frac{5}{2}
Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.
x+3=\frac{6\times 5}{2}
Express 6\times \frac{5}{2} as a single fraction.
x+3=\frac{30}{2}
Multiply 6 and 5 to get 30.
x+3=15
Divide 30 by 2 to get 15.
x=15-3
Subtract 3 from both sides.
x=12
Subtract 3 from 15 to get 12.