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\frac{9}{5}x+32=86
Swap sides so that all variable terms are on the left hand side.
\frac{9}{5}x=86-32
Subtract 32 from both sides.
\frac{9}{5}x=54
Subtract 32 from 86 to get 54.
x=54\times \frac{5}{9}
Multiply both sides by \frac{5}{9}, the reciprocal of \frac{9}{5}.
x=\frac{54\times 5}{9}
Express 54\times \frac{5}{9} as a single fraction.
x=\frac{270}{9}
Multiply 54 and 5 to get 270.
x=30
Divide 270 by 9 to get 30.