1. **State the problem:** Solve the inequality $3x - 5 + 5 \leq 7 + 5$. 2. **Simplify both sides:** Combine like terms. $$3x - \cancel{5} + \cancel{5} \leq 7 + 5$$ $$3x \leq 12$$ 3. **Isolate $x$:** Divide both sides by 3. $$\frac{3x}{\cancel{3}} \leq \frac{12}{\cancel{3}}$$ $$x \leq 4$$ 4. **Interpretation:** The solution to the inequality is all values of $x$ less than or equal to 4. **Final answer:** $$x \leq 4$$