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