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6x+2<x+17
Use the distributive property to multiply 2 by 3x+1.
6x+2-x<17
Subtract x from both sides.
5x+2<17
Combine 6x and -x to get 5x.
5x<17-2
Subtract 2 from both sides.
5x<15
Subtract 2 from 17 to get 15.
x<\frac{15}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<3
Divide 15 by 5 to get 3.