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\frac{5}{3}x=100
Combine x and \frac{2}{3}x to get \frac{5}{3}x.
x=100\times \frac{3}{5}
Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.
x=\frac{100\times 3}{5}
Express 100\times \frac{3}{5} as a single fraction.
x=\frac{300}{5}
Multiply 100 and 3 to get 300.
x=60
Divide 300 by 5 to get 60.