1. **State the problem:** Solve the linear equation $3x + 2 = 5$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate the variable by performing inverse operations. Subtract or add terms on both sides and then divide or multiply to solve for $x$. 3. **Step-by-step solution:** - Start with the equation: $3x + 2 = 5$ - Subtract 2 from both sides to isolate the term with $x$: $3x + 2 - 2 = 5 - 2$ - Simplify: $3x = 3$ - Divide both sides by 3 to solve for $x$: $\frac{3x}{3} = \frac{3}{3}$ - Simplify: $x = 1$ 4. **Answer:** The solution to the equation $3x + 2 = 5$ is $x = 1$.