Add 24: $ 3x = 120 $.

["Solve $ 3x = 120 $: Step-by-Step Guide to Finding the Value of $ x $", "Learning how to solve a simple linear equation like $ 3x = 120 $ is a fundamental math skill, especially useful in algebra, everyday budgeting, and problem-solving. If you're encountering the problem $ 3x = 120 $, this article breaks down the solution clearly and helps you understand why $ x = 40 $, empowering you to tackle similar equations with confidence.", "---", "### What Does $ 3x = 120 $ Mean?", "The equation $ 3x = 120 $ means that the product of 3 and an unknown number $ x $ equals 120. In word problems or real-life scenarios, $ x $ often represents a quantity you're trying to find—like how many items you can buy, or how much time you spend solving a task.", "---", "### Step-by-Step Solution: How to Solve $ 3x = 120 $", "To solve for $ x $, your goal is to isolate $ x $ on one side of the equation. Here’s how:", "1. Start with the original equation:\n $$\n 3x = 120\n $$", "2. Divide both sides by 3:\n Since $ x $ is multiplied by 3, divide both sides by 3 to cancel it out:\n $$\n \frac{3x}{3} = \frac{120}{3}\n $$", "3. Simplify:\n $$\n x = 40\n $$", "---", "### Verify the Solution", "Plug $ x = 40 $ back into the original equation to confirm:\n$$\n3 \cdot 40 = 120\n$$\n$$\n120 = 120 \quad \checkmark\n$$", "The solution checks out!", "---", "### Real-Life Applications of Solving $ 3x = 120 $", "Understanding equations like $ 3x = 120 $ helps in everyday situations:", "- Shopping: If 3 apples cost $120 total, how much does one apple cost? (Answer: $ x = 40 $, so $ 120 ÷ 3 = 40 $)\n- Budgeting: If you budget $3 each week, how many weeks until $120? (Answer: $ 3x = 120 \Rightarrow x = 40 $)\n- Education: Help students learn algebraic reasoning early.", "---", "### Why Learning These Basics Matters", "Mastering simple equations builds a strong foundation for higher-level math—algebra, calculus, and beyond. It sharpens logical thinking and problem-solving skills essential for science, engineering, finance, and more.", "---", "### Frequently Asked Questions", "Q: How do I solve $ 3x = 120 $ without algebra?\nA: You can think of division in real terms—if 3 groups total 120 units, splitting equally means dividing by 3: $ 120 ÷ 3 = 40 $.", "Q: Is $ x = 40 $ the only solution?\nA: Yes, for linear equations, there’s only one solution unless the equation is inconsistent or an identity.", "Q: Can this equation apply to fractions or decimals?\nA: Absolutely! The same method applies. For example, $ 3x = 120.5 $ gives $ x = 40.166... $", "---", "### Final Thoughts", "The equation $ 3x = 120 $ might seem basic, but solving it correctly gives you clarity and confidence in math. Whether you're answering a textbook problem or applying algebra in real life, mastering steps like division, isolation, and verification is key. Keep practicing—strong algebra skills open doors to smarter decisions and better problem-solving every day!", "---", "Keywords: $ 3x = 120 $, solve linear equations, algebra basics, how to solve for x, step-by-step equation solving, real life math, math tutorial, elementary algebra, problem solving skills.", "Meta Description: Learn how to solve $ 3x = 120 $ step by step—understand the math, verify your answer, and apply it to everyday situations like budgeting and shopping. Perfect for students and lifelong learners!"]