Solve for x
x>5
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6-\frac{3}{5}x<3
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-\frac{3}{5}x<3-6
Subtract 6 from both sides.
-\frac{3}{5}x<-3
Subtract 6 from 3 to get -3.
x>-3\left(-\frac{5}{3}\right)
Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}. Since -\frac{3}{5} is negative, the inequality direction is changed.
x>5
Multiply -3 times -\frac{5}{3}.
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