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5x-38+2x\geq 60
Use the distributive property to multiply -2 by 19-x.
7x-38\geq 60
Combine 5x and 2x to get 7x.
7x\geq 60+38
Add 38 to both sides.
7x\geq 98
Add 60 and 38 to get 98.
x\geq \frac{98}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
x\geq 14
Divide 98 by 7 to get 14.