Solve for x
x>\frac{5}{4}
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\frac{x}{5}+1-x<0
Subtract x from both sides.
-\frac{4}{5}x+1<0
Combine \frac{x}{5} and -x to get -\frac{4}{5}x.
-\frac{4}{5}x<-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x>-\left(-\frac{5}{4}\right)
Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}. Since -\frac{4}{5} is negative, the inequality direction is changed.
x>\frac{5}{4}
Multiply -1 and -\frac{5}{4} to get \frac{5}{4}.
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