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2x-3-5x\leq -6
Subtract 5x from both sides.
-3x-3\leq -6
Combine 2x and -5x to get -3x.
-3x\leq -6+3
Add 3 to both sides.
-3x\leq -3
Add -6 and 3 to get -3.
x\geq \frac{-3}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\geq 1
Divide -3 by -3 to get 1.