Let's go through the steps to solve the equation \(3x + 2 = 17\) correctly:
Step 1: Subtract 2 from both sides of the equation.
\[ 3x + 2 - 2 = 17 - 2 \]
This simplifies to:
\[ 3x = 15 \]
Step 2: Divide both sides by 3 to solve for \(x\).
\[ \frac{3x}{3} = \frac{15}{3} \]
This simplifies to:
\[ x = 5 \]
Final Answer: \(x = 5\)