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5x-1-2x\geq 3
Subtract 2x from both sides.
3x-1\geq 3
Combine 5x and -2x to get 3x.
3x\geq 3+1
Add 1 to both sides.
3x\geq 4
Add 3 and 1 to get 4.
x\geq \frac{4}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.