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\frac{3}{4}x-\frac{1}{8}x=100
Combine x and -\frac{1}{4}x to get \frac{3}{4}x.
\frac{5}{8}x=100
Combine \frac{3}{4}x and -\frac{1}{8}x to get \frac{5}{8}x.
x=100\times \frac{8}{5}
Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.
x=\frac{100\times 8}{5}
Express 100\times \frac{8}{5} as a single fraction.
x=\frac{800}{5}
Multiply 100 and 8 to get 800.
x=160
Divide 800 by 5 to get 160.