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x-3x+6\leq 4
Use the distributive property to multiply -3 by x-2.
-2x+6\leq 4
Combine x and -3x to get -2x.
-2x\leq 4-6
Subtract 6 from both sides.
-2x\leq -2
Subtract 6 from 4 to get -2.
x\geq \frac{-2}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\geq 1
Divide -2 by -2 to get 1.