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2x\geq 38-x
Multiply both sides of the equation by 38, the least common multiple of 19,38. Since 38 is positive, the inequality direction remains the same.
2x+x\geq 38
Add x to both sides.
3x\geq 38
Combine 2x and x to get 3x.
x\geq \frac{38}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.