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\frac{5}{2}x=500-40
Subtract 40 from both sides.
\frac{5}{2}x=460
Subtract 40 from 500 to get 460.
x=460\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
x=\frac{460\times 2}{5}
Express 460\times \frac{2}{5} as a single fraction.
x=\frac{920}{5}
Multiply 460 and 2 to get 920.
x=184
Divide 920 by 5 to get 184.