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2x-1+3x<15
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
5x-1<15
Combine 2x and 3x to get 5x.
5x<15+1
Add 1 to both sides.
5x<16
Add 15 and 1 to get 16.
x<\frac{16}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.