3(4x+8)=4(3x+6)

1. Distribute the coefficients inside the parentheses on both sides of the equation:

12x + 24 = 12x + 24

2. Subtract 12x from both sides to isolate the constant term:

24 = 24

3. Since both sides of the equation are equal, this means that the original equation is an identity and has infinitely many solutions.

Therefore, the solution to the equation 3(4x + 8) = 4(3x + 6) is all real numbers.