Solve for x
x<\frac{15}{7}
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\frac{1}{5}x+2-\frac{2}{3}x>1
Subtract \frac{2}{3}x from both sides.
-\frac{7}{15}x+2>1
Combine \frac{1}{5}x and -\frac{2}{3}x to get -\frac{7}{15}x.
-\frac{7}{15}x>1-2
Subtract 2 from both sides.
-\frac{7}{15}x>-1
Subtract 2 from 1 to get -1.
x<-\left(-\frac{15}{7}\right)
Multiply both sides by -\frac{15}{7}, the reciprocal of -\frac{7}{15}. Since -\frac{7}{15} is negative, the inequality direction is changed.
x<\frac{15}{7}
Multiply -1 and -\frac{15}{7} to get \frac{15}{7}.
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