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2x+3-4x\geq -9
Subtract 4x from both sides.
-2x+3\geq -9
Combine 2x and -4x to get -2x.
-2x\geq -9-3
Subtract 3 from both sides.
-2x\geq -12
Subtract 3 from -9 to get -12.
x\leq \frac{-12}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq 6
Divide -12 by -2 to get 6.