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\frac{8}{5}x=360
Combine x and \frac{3}{5}x to get \frac{8}{5}x.
x=360\times \frac{5}{8}
Multiply both sides by \frac{5}{8}, the reciprocal of \frac{8}{5}.
x=\frac{360\times 5}{8}
Express 360\times \frac{5}{8} as a single fraction.
x=\frac{1800}{8}
Multiply 360 and 5 to get 1800.
x=225
Divide 1800 by 8 to get 225.