Let's simplify the equation step by step.
Starting with the equation:
\[ 3x + 5x + 6 = 2(4x + 3) \]
First, we simplify the left side:
\[ 3x + 5x = 8x \] So, the left side becomes:
\[ 8x + 6 \]
Now we simplify the right side:
\[ 2(4x + 3) = 8x + 6 \]
Now, we have:
\[ 8x + 6 = 8x + 6 \]
Now, we subtract \(8x\) from both sides:
\[ 8x + 6 - 8x = 8x + 6 - 8x \]
This simplifies to:
\[ 6 = 6 \]
So, the final statement is:
\[ 6 = 6 \]
This shows that the original equation is always true for any value of \(x\), indicating that it represents an identity.