8x - 3x = 21 - 20 → 5x = 1 → x = 0.2

["How to Solve 8x – 3x = 21 – 20 → 5x = 1 → x = 0.2: A Step-by-Step Guide", "Understanding how to solve a simple linear equation might seem basic, but mastering step-by-step methods is key for building strong math fundamentals. Today, we’ll explore the equation 8x – 3x = 21 – 20 → 5x = 1 → x = 0.2 in detail, breaking down each transformation to clarify the solution process and help readers reinforce their algebraic skills.", "---", "### Recognizing the Equation Structure", "The original equation is:", "[\n8x – 3x = 21 – 20 \ o 5x = 1 \ o x = 0.2\n]", "At first glance, this may appear as multiple shortcuts, but let’s reconstruct it properly to fully grasp its logic.", "---", "### Step 1: Simplify Both Sides", "Start with the left side:\n[\n8x – 3x\n]\nThis simplifies to:\n[\n(8 - 3)x = 5x\n]", "Now simplify the right side:\n[\n21 – 20 = 1\n]", "So the equation now reads:\n[\n5x = 1\n]", "---", "### Step 2: Solve for x", "To isolate ( x ), divide both sides of the equation by 5:\n[\nx = \frac{1}{5}\n]", "Since ( \frac{1}{5} = 0.2 ), we have:\n[\nx = 0.2\n]", "---", "### Why This Step-by-Step Approach Matters", "Misinterpretation often arises when skipping direct algebraic transformations, especially when numbers are simplified quickly. Properly breaking down:", "- Combining like terms on each side\n- Correctly simplifying expressions like ( 8x – 3x )\n- Accurate arithmetic when solving both sides (e.g., ( 21 - 20 = 1 ))\n- Properly isolating the variable ( x )", "ensures correctness and clarity.", "---", "### Real-World Applications of Solving Linear Equations", "Understanding how to solve ( 5x = 1 ) isn’t just academic — linear equations appear in:", "- Financial planning (e.g., simple interest calculations)\n- Physics (calculating distances and speeds)\n- Business analytics (breaking down profit margins)\n- Computer algorithms (predictive modeling)", "By mastering these core skills, you build a foundation for advanced topics like calculus, statistics, and machine learning.", "---", "### Practice Tips for Mastery", "- Always simplify both sides independently before solving.\n- Double-check arithmetic: (\frac{1}{5}) is indeed 0.2.\n- Use parentheses to avoid confusion with order of operations.\n- Rewrite the final answer in both decimal and fraction form to reinforce accuracy.", "---", "### Conclusion", "While the original equation seemed concise, unpacking it step-by-step reveals the elegance and logic behind solving linear equations. Starting with simplification, combining like terms, performing correct arithmetic, and isolating variables are all essential skills. Whether for homework, exams, or real-world problem-solving, understanding 8x – 3x = 21 – 20 leading to x = 0.2 ensures confidence and accuracy in algebra.", "---", "Key Takeaways:\n- ( 8x - 3x = 5x )\n- ( 21 - 20 = 1 )\n- ( x = \frac{1}{5} = 0.2 )\n- Step-by-step simplification prevents errors\n- Linear equations form the basis for advanced math", "Start solving today — mastering these basics unlocks greater mathematical confidence!"]