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12x-2+5x<36
Add 5x to both sides.
17x-2<36
Combine 12x and 5x to get 17x.
17x<36+2
Add 2 to both sides.
17x<38
Add 36 and 2 to get 38.
x<\frac{38}{17}
Divide both sides by 17. Since 17 is positive, the inequality direction remains the same.