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3x-10-6x\geq 4
Subtract 6x from both sides.
-3x-10\geq 4
Combine 3x and -6x to get -3x.
-3x\geq 4+10
Add 10 to both sides.
-3x\geq 14
Add 4 and 10 to get 14.
x\leq -\frac{14}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.