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x-6\leq 2x+4
Multiply both sides of the equation by 4, the least common multiple of 4,2. Since 4 is positive, the inequality direction remains the same.
x-6-2x\leq 4
Subtract 2x from both sides.
-x-6\leq 4
Combine x and -2x to get -x.
-x\leq 4+6
Add 6 to both sides.
-x\leq 10
Add 4 and 6 to get 10.
x\geq -10
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.