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2x+5+4x<12
Add 4x to both sides.
6x+5<12
Combine 2x and 4x to get 6x.
6x<12-5
Subtract 5 from both sides.
6x<7
Subtract 5 from 12 to get 7.
x<\frac{7}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.