2(3х+7)-8(х+3)<= 0

Let's solve the inequality step by step:

1. Distribute the terms: \[ 2(3x + 7) - 8(x + 3) \leq 0 \] \[ 6x + 14 - 8x - 24 \leq 0 \]

2. Combine like terms: \[ (6x - 8x) + (14 - 24) \leq 0 \] \[ -2x - 10 \leq 0 \]

3. Add 10 to both sides: \[ -2x \leq 10 \]

4. Divide by -2 (remember to flip the inequality sign when dividing by a negative number): \[ x \geq -5 \]

Thus, the solution to the inequality \(2(3x + 7) - 8(x + 3) \leq 0\) is: \[ x \geq -5 \]