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\frac{5}{8}x=30
Combine x and -\frac{3}{8}x to get \frac{5}{8}x.
x=30\times \frac{8}{5}
Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.
x=\frac{30\times 8}{5}
Express 30\times \frac{8}{5} as a single fraction.
x=\frac{240}{5}
Multiply 30 and 8 to get 240.
x=48
Divide 240 by 5 to get 48.