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2x+3x+1<4
Multiply both sides of the equation by 4, the least common multiple of 2,4. Since 4 is positive, the inequality direction remains the same.
5x+1<4
Combine 2x and 3x to get 5x.
5x<4-1
Subtract 1 from both sides.
5x<3
Subtract 1 from 4 to get 3.
x<\frac{3}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.