Given: $ 4x - 15 = 97 $.

["How to Solve $ 4x - 15 = 97 $: A Step-by-Step Guide", "Solving a linear equation like $ 4x - 15 = 97 $ is a fundamental skill in algebra that opens the door to understanding more complex math problems. Whether you're a student, teacher, or self-learner, mastering how to isolate the variable builds confidence and sharpens problem-solving abilities. In this article, we’ll explore how to solve $ 4x - 15 = 97 $ step by step, explain the logic behind each operation, and highlight practical applications of this essential equation.", "### Understanding the Equation", "The equation $ 4x - 15 = 97 $ is a simple one-term linear equation. It states that four times a number $ x $ minus fifteen equals ninety-seven. Our goal is to isolate $ x $ and determine its value.", "### Step-by-Step Solution", "1. Add 15 to Both Sides\n To begin, eliminate the constant term on the left side. Adding 15 to both sides maintains equation balance:\n $$\n 4x - 15 + 15 = 97 + 15\n $$\n Simplifying gives:\n $$\n 4x = 112\n $$", "2. Divide Both Sides by 4\n Now, isolate $ x $ by dividing both sides by 4:\n $$\n \frac{4x}{4} = \frac{112}{4}\n $$\n Which simplifies to:\n $$\n x = 28\n $$", "### Final Answer", "The solution to the equation $ 4x - 15 = 97 $ is:\n$ x = 28 $", "### Why This Matters: Real-World Applications", "Equations like $ 4x - 15 = 97 $ appear frequently in everyday and academic contexts. For example:\n- Budgeting: If you earn $4 per hour and spent $15, totaling $97 consumed, solving $ 4x - 15 = 97 $ tells you how many hours you worked.\n- Science: Calculating distances, speeds, or temperatures often involves linear equations.\n- Engineering & Finance: Linear relationships are foundational in modeling costs, resource allocation, and more.", "### Tips for Solving Linear Equations", "- Always keep the equation balanced — whatever you do on one side, do the same on the other.\n- Use inverse operations to isolate variables (add/subtract, multiply/divide).\n- Check your solution by plugging $ x = 28 $ back into the original equation to verify:\n $$\n 4(28) - 15 = 112 - 15 = 97 \quad \ ext{✓}\n $$", "### Conclusion", "Solving $ 4x - 15 = 97 $ is a clear demonstration of algebraic reasoning. By systematically eliminating constants and isolating the variable, we find $ x = 28 $. This basic yet powerful skill forms the backbone of greater mathematical understanding and real-world problem-solving. Keep practicing — mastering such equations unlocks countless possibilities in STEM fields and daily life.", "---", "Keywords: solve $4x - 15 = 97$, algebra, solving linear equations, step-by-step guide, math tutorial, algebraic equations, equation solving tips, real-world math applications"]