To solve the equation \( 4x + 7 = 23 - 8 \), we first simplify the right side:
\[ 23 - 8 = 15 \]
Now the equation becomes:
\[ 4x + 7 = 15 \]
Next, we subtract 7 from both sides:
\[ 4x = 15 - 7 \]
This simplifies to:
\[ 4x = 8 \]
Now, divide both sides by 4:
\[ x = \frac{8}{4} = 2 \]
Thus, the solution is:
\[ \boxed{2} \]