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\frac{9}{5}x+32=14
Swap sides so that all variable terms are on the left hand side.
\frac{9}{5}x=14-32
Subtract 32 from both sides.
\frac{9}{5}x=-18
Subtract 32 from 14 to get -18.
x=-18\times \frac{5}{9}
Multiply both sides by \frac{5}{9}, the reciprocal of \frac{9}{5}.
x=\frac{-18\times 5}{9}
Express -18\times \frac{5}{9} as a single fraction.
x=\frac{-90}{9}
Multiply -18 and 5 to get -90.
x=-10
Divide -90 by 9 to get -10.