Der Umfang beträgt 2x + 2(3x) = 8x = 48 cm, also x = 48 / 8 = 6 cm.
["Understanding a Linear Equation: Solving for x in "Der Umfang beträgt 2x + 2(3x) = 8x = 48 cm"", "In this SEO-optimized educational article, we’ll explore a practical example of solving a linear equation commonly used in geometry and algebra:\nDer Umfang beträgt 2x + 2(3x) = 8x = 48 cm, also x = 48 / 8 = 6 cm.", "---", "### Solving Linear Equations: A Practical Example", "Mathematics is built on the foundation of equations—statements that describe relationships between quantities. One such equation often encountered in geometry is the calculation of perimeter using algebraic expressions, especially when shapes involve repeating linear patterns.", "Let’s break down the problem:", "Given:\nThe perimeter of a shape is expressed as\n2x + 2(3x) = 8x = 48 cm", "Our goal is to find the value of x, representing a key linear dimension in this geometric configuration.", "---", "### Step 1: Simplify the Equation", "Start by simplifying the left-hand expression:\n2x + 2(3x)", "Distribute the 2 into (3x):\n= 2x + 6x\n= 8x", "Now the equation becomes:\n8x = 48 cm", "This simplified form makes solving for x much clearer and quicker.", "---", "### Step 2: Solve for x", "To isolate x, divide both sides of the equation by 8:\nx = 48 / 8\nx = 6 cm", "---", "### What does x = 6 cm mean in context?", "The value x = 6 cm typically represents a side length, a scaling factor, or a measurement unit in a geometric figure—such as a rectangle, polygon, or architectural element—where the total perimeter depends on this variable.", "Since the total perimeter is 8x, substituting x = 6 cm gives:\n8 × 6 = 48 cm, confirming the measurement.", "This kind of algebraic reasoning is essential in arithmetic, construction, design, and engineering, where accurate gauge of dimensions ensures proper fit and functionality.", "---", "### Why This Example Matters for SEO", "- Target Keywords: Phrases like "linear equation solution", "calculate perimeter algebraically", and "solve for x step-by-step" attract users searching for clear math tutorials.\n- Educational Value: Clear breakdown builds trust and encourages shares, boosting engagement and search rankings.\n- Real-World Context: Linking math to practical geometry applications enhances relevance and content authority.", "---", "### Summary", "From the equation 2x + 2(3x) = 8x = 48 cm, we simplified and solved step-by-step:\n- Simplify → 8x = 48 cm\n- Solve → x = 6 cm", "Understanding such equations empowers learners to tackle more complex geometry problems confidently. Whether polygons, angles, or real-world measurements, mastering algebra starts with equations like this.", "---", "Keywords: solve linear equation, perimeter calculation, algebra example, find x, 2x + 2(3x), algebraic perimeter, math problem solving, cubic geometry basics, step-by-step algebra", "Meta Description:\nLearn how to solve 2x + 2(3x) = 48 cm algebraically—discover x = 6 cm step-by-step. Ideal for students and educators seeking clear explanations and real-world applications in math.", "---", "Improve your math skills today—mastering equations starts here, one simple step at a time."]
