Solve for x
x<8
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-14-\frac{5}{4}x+\frac{3}{8}x>-21
Add \frac{3}{8}x to both sides.
-14-\frac{7}{8}x>-21
Combine -\frac{5}{4}x and \frac{3}{8}x to get -\frac{7}{8}x.
-\frac{7}{8}x>-21+14
Add 14 to both sides.
-\frac{7}{8}x>-7
Add -21 and 14 to get -7.
x<-7\left(-\frac{8}{7}\right)
Multiply both sides by -\frac{8}{7}, the reciprocal of -\frac{7}{8}. Since -\frac{7}{8} is negative, the inequality direction is changed.
x<8
Multiply -7 times -\frac{8}{7}.
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