According to the problem, \(3x + 2x = 30\).

["Solving the Linear Equation: How to Solve (3x + 2x = 30)", "When faced with the equation (3x + 2x = 30), many students and learners start by simplifying the left-hand side. This fundamental algebraic challenge is a great introduction to solving linear equations and is essential for building strong math foundations. Let’s explore how to solve this equation step-by-step.", "### Understanding the Equation", "The equation (3x + 2x = 30) involves a linear expression with the variable (x). Combining like terms is the first and most important step in solving such equations.", "### Step 1: Combine Like Terms", "On the left side, (3x) and (2x) are like terms because they both contain the variable (x). Adding them together:", "[\n3x + 2x = (3 + 2)x = 5x\n]", "So the equation simplifies to:", "[\n5x = 30\n]", "### Step 2: Solve for (x)", "To isolate (x), divide both sides of the equation by 5:", "[\nx = \frac{30}{5} = 6\n]", "### Verification", "To ensure the solution is correct, substitute (x = 6) back into the original equation:", "[\n3(6) + 2(6) = 18 + 12 = 30\n]", "Since both sides equal 30, the solution is correct.", "### Why This Matters", "Understanding how to solve equations like (3x + 2x = 30) is crucial in algebra. These skills form the basis for more complex problem-solving in mathematics, science, engineering, and everyday decision-making. Whether you're budgeting money, calculating distances, or analyzing data, linear equations help describe relationships between variables clearly and effectively.", "### Summary", "- Combine like terms: (3x + 2x = 5x)\n- Simplify the equation: (5x = 30)\n- Solve for (x): (x = 6)\n- Verify the solution: (3(6) + 2(6) = 30)", "Mastering such equations empowers you to tackle real-world problems with confidence and clarity.", "---\nKeywords: solve (3x + 2x = 30), linear equation, solving algebra, combine like terms, solve for (x), algebra basics, mathematics fundamentals", "Meta Description: Learn how to solve the equation (3x + 2x = 30) using step-by-step simplification and verification. Perfect for students and learners mastering basic algebra."]