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-x+3-\frac{2}{5}x\leq -4
Subtract \frac{2}{5}x from both sides.
-x-\frac{2}{5}x\leq -4-3
Subtract 3 from both sides.
-x-\frac{2}{5}x\leq -7
Subtract 3 from -4 to get -7.
-\frac{7}{5}x\leq -7
Combine -x and -\frac{2}{5}x to get -\frac{7}{5}x.
x\geq -7\left(-\frac{5}{7}\right)
Multiply both sides by -\frac{5}{7}, the reciprocal of -\frac{7}{5}. Since -\frac{7}{5} is negative, the inequality direction is changed.
x\geq 5
Multiply -7 times -\frac{5}{7}.