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\frac{5}{6}x=\frac{1}{2}\times 5
Multiply both sides by 5.
\frac{5}{6}x=\frac{5}{2}
Multiply \frac{1}{2} and 5 to get \frac{5}{2}.
x=\frac{5}{2}\times \frac{6}{5}
Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.
x=\frac{5\times 6}{2\times 5}
Multiply \frac{5}{2} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{6}{2}
Cancel out 5 in both numerator and denominator.
x=3
Divide 6 by 2 to get 3.