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5x-6-2x\geq 3
Subtract 2x from both sides.
3x-6\geq 3
Combine 5x and -2x to get 3x.
3x\geq 3+6
Add 6 to both sides.
3x\geq 9
Add 3 and 6 to get 9.
x\geq \frac{9}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x\geq 3
Divide 9 by 3 to get 3.