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2x-5-6x\geq 7
Subtract 6x from both sides.
-4x-5\geq 7
Combine 2x and -6x to get -4x.
-4x\geq 7+5
Add 5 to both sides.
-4x\geq 12
Add 7 and 5 to get 12.
x\leq \frac{12}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\leq -3
Divide 12 by -4 to get -3.