3(5x+8)-7x=6x

To solve the equation \(3(5x + 8) - 7x = 6x\), follow these steps:

1. Distribute the 3:

   \[ 15x + 24 - 7x = 6x \]

2. Combine like terms on the left side:

   \[ (15x - 7x) + 24 = 6x \]

   This simplifies to:

   \[ 8x + 24 = 6x \]

3. Now, isolate the variable \(x\). Subtract \(6x\) from both sides:

   \[ 8x - 6x + 24 = 0 \]

   This simplifies to:

   \[ 2x + 24 = 0 \]

4. Subtract 24 from both sides:

   \[ 2x = -24 \]

5. Finally, divide by 2:

   \[ x = -12 \]

So, the solution is:

\[ \boxed{-12} \]