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2\left(3x+1\right)-3\left(2x-3\right)<0
Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.
6x+2-3\left(2x-3\right)<0
Use the distributive property to multiply 2 by 3x+1.
6x+2-6x+9<0
Use the distributive property to multiply -3 by 2x-3.
2+9<0
Combine 6x and -6x to get 0.
11<0
Add 2 and 9 to get 11.
\text{false}
Compare 11 and 0.
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