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6x-2-3x\geq -4
Subtract 3x from both sides.
3x-2\geq -4
Combine 6x and -3x to get 3x.
3x\geq -4+2
Add 2 to both sides.
3x\geq -2
Add -4 and 2 to get -2.
x\geq -\frac{2}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.