12q–20–19≤2(2q+7)–5

Sure, let's solve the inequality step by step:

1. First, distribute the 2 on the right side of the inequality: 2(2q+7)–5 becomes 4q + 14 - 5, which simplifies to 4q + 9.

So, the inequality now is: 12q - 20 - 19 ≤ 4q + 9

2. Combine like terms on the left side of the inequality: 12q - 20 - 19 becomes 12q - 39.

So, the inequality now is: 12q - 39 ≤ 4q + 9

3. Subtract 4q from both sides of the inequality to get all q terms on one side: 12q - 4q ≤ 4q - 4q + 9 + 39

This simplifies to: 8q - 39 ≤ 9

4. Add 39 to both sides of the inequality to isolate the q term: 8q - 39 + 39 ≤ 9 + 39

This simplifies to: 8q ≤ 48

5. Finally, divide both sides of the inequality by 8 to solve for q: 8q/8 ≤ 48/8

This simplifies to: q ≤ 6

So, the solution to the inequality 12q - 20 - 19 ≤ 2(2q + 7) - 5 is q ≤ 6.