To solve the equation \( 29 = 8x + 5 - 4x \), let's first simplify the right side.
- Combine like terms \( 8x \) and \( -4x \):
\[ 29 = (8x - 4x) + 5 \]
\[ 29 = 4x + 5 \]
- Next, isolate \( 4x \) by subtracting 5 from both sides:
\[ 29 - 5 = 4x \]
\[ 24 = 4x \]
- Now, divide by 4 to solve for \( x \):
\[ x = \frac{24}{4} = 6 \]
Now, let's check the solution by substituting \( x = 6 \) back into the original equation:
- Substitute \( x = 6 \) into \( 8x + 5 - 4x \):
\[ 8(6) + 5 - 4(6) \]
\[ = 48 + 5 - 24 \]
\[ = 29 \]
Since both sides of the equation match, the solution \( x = 6 \) is correct.
Thus, the answer is:
\[ \boxed{6} \]