Final answer:
To solve the inequality -3/8x -20 + 2x > 6, combine like terms, simplify, add 20 to both sides, and multiply both sides by 8/13.
Step-by-step explanation:
To solve the inequality -3/8x -20 + 2x > 6, we need to isolate the variable x. Here are the steps:
- Combine like terms: -3/8x + 2x - 20 > 6
- Simplify: 13/8x - 20 > 6
- Add 20 to both sides: 13/8x > 26
- Multiply both sides by 8/13 to solve for x: x > 16
Therefore, the solution to the inequality is x > 16.