Solve the inequality 5 (3-x) - 4 (2-3x) >2

5 (3-x) - 4 (2-3x) >2

Use distributive property (Multiply 5 by 3 and - x while multiplying - 4 by 2 and - 3x).

15 - 5x - 8 + 12x > 2

Combine like terms (Subtract 8 from 15 and add 12x to - 5x).

7 + 7x > 2

Subtract 7 on both sides

7x > - 5

Divide 7 on both sides so that the only thing remaining on the left side is the variable x.

Final Answer: x > - 5/7