Subtrahiere 5 von beiden Seiten: 3x = 15
"**How to Solve: Subtrahiere 5 von beiden Seiten – 3x = 15", "If you’re learning algebra, one of the foundational skills is manipulating equations by performing the same operations on both sides. This ensures the equation remains balanced while isolating the variable. In this article, we’ll explore a classic example: solving the equation 3x = 15 by subtracting 5 from both sides—a simple but powerful technique that lays the groundwork for more complex problem-solving.", "---", "### Understanding the Equation: 3x = 15", "The equation 3x = 15 means that three times an unknown value x equals 15. Our goal is to find what x is. To isolate x, we must undo the multiplication by 3 using inverse addition—specifically, subtracting 5 from both sides.", "---", "### Why Subtract 5 from Both Sides?", "By subtracting 5 from both sides, we maintain the equality while moving toward simplification:", "[\n3x - 5 = 15 - 5\n]", "Now simplify:", "[\n3x - 5 = 10\n]", "Though we haven’t yet isolated x, this step demonstrates how careful manipulation preserves the equation’s integrity. In practice, the next move (though not required here) involves dividing both sides by 3 to solve for x:", "[\nx = \frac{10 + 5}{3} = \frac{15}{3} = 5\n]", "---", "### Real-World Application: Subtracting Constants to Simplify Equations", "The principle of subtracting a constant from both sides applies beyond algebra—it’s a key strategy in solving real-life problems. For example, if you’re budgeting and calculate daily expenses using equations like total = fixed cost – daily subtractions, adjusting both sides maintains accuracy when reducing variable costs.", "---", "### Step-by-Step Summary", "1. Start with the equation:\n3x = 15\n2. Subtract 5 from both sides to begin isolating x:\n3x - 5 = 10\n3. (Optional) Divide both sides by 3 to solve for x:\nx = 5", "---", "### Key Takeaways", "- Balancing Act: Always perform the same operation on both sides of an equation to keep it balanced.\n- Simplification: Subtracting constants helps reduce complexity step-by-step.\n- Foundational Skill: Mastering this technique builds confidence in solving linear equations.", "---", "### Practice with Us!", "Try solving similar equations like 2x = 8 + 5 or x + 12 - 7 = 10 by carefully subtracting constants across both sides. Consistent practice turns these steps into second nature—key to unlocking algebra mastery.", "---", "Popular Related Searches:\n- How to solve 3x = 15 step-by-step\n- Subtracting constants in equations\n- Algebra practice problems for beginners\n- Step-by-step solving equations", "Meta Description:\nLearn how subtracting 5 from both sides helps solve 3x = 15 — a key algebra technique to simplify and isolate variables. Practice with step-by-step examples and boost your math confidence today!", "---", "Keep exploring math concepts and remember: every equation tells a story — solving it unlocks the truth."]
