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10x-2<3\times 2+1
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
10x-2<6+1
Multiply 3 and 2 to get 6.
10x-2<7
Add 6 and 1 to get 7.
10x<7+2
Add 2 to both sides.
10x<9
Add 7 and 2 to get 9.
x<\frac{9}{10}
Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.