8x+34≤−6(2x+5)+4

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

1. First, distribute the -6 on the right side of the inequality: -6(2x+5) + 4 becomes -12x - 30 + 4, which simplifies to -12x - 26.

So, the inequality now reads: 8x + 34 ≤ -12x - 26

2. Next, let's get all the x terms on one side and the constants on the other. Add 12x to both sides to get: 8x + 12x + 34 ≤ -26, which simplifies to 20x + 34 ≤ -26

3. Then, subtract 34 from both sides to get: 20x ≤ -60

4. Finally, divide both sides by 20 to solve for x: x ≤ -3

So, the solution to the inequality 8x + 34 ≤ -6(2x + 5) + 4 is x ≤ -3.

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

1. Distribute -6 on the right side of the inequality: -6(2x+5)+4 becomes -12x-30+4.
2. Simplify the right side: -12x-30+4 becomes -12x-26.
3. So, the inequality now is: 8x+34 ≤ -12x-26.
4. Add 12x to both sides to get all the x terms on one side: 8x+12x+34 ≤ -26, which simplifies to 20x+34 ≤ -26.
5. Subtract 34 from both sides to isolate the x term: 20x ≤ -26-34, which simplifies to 20x ≤ -60.
6. Divide both sides by 20 to solve for x: x ≤ -60/20, which simplifies to x ≤ -3.

So, the solution to the inequality 8x+34 ≤ -6(2x+5)+4 is x ≤ -3.