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100+\frac{5}{4}x=15
Swap sides so that all variable terms are on the left hand side.
\frac{5}{4}x=15-100
Subtract 100 from both sides.
\frac{5}{4}x=-85
Subtract 100 from 15 to get -85.
x=-85\times \frac{4}{5}
Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.
x=\frac{-85\times 4}{5}
Express -85\times \frac{4}{5} as a single fraction.
x=\frac{-340}{5}
Multiply -85 and 4 to get -340.
x=-68
Divide -340 by 5 to get -68.