To solve the equation \(5x + 8 + x = 32\), first combine like terms on the left side.
Combine \(5x\) and \(x\):
\[ 5x + x = 6x \]
Now the equation becomes:
\[ 6x + 8 = 32 \]
Next, subtract 8 from both sides to isolate the term with \(x\):
\[ 6x = 32 - 8 \]
This simplifies to:
\[ 6x = 24 \]
Now, divide both sides by 6 to solve for \(x\):
\[ x = \frac{24}{6} \]
Therefore:
\[ x = 4 \]
The solution is \(x = 4\).