\[ 25x - (500 + 10x) = 1000 \]

["# Solving the Equation: 25x – (500 + 10x) = 1000", "Understanding how to solve linear equations is essential in algebra, and tackling equations like [ 25x - (500 + 10x) = 1000 ] is a foundational skill. This guide will walk you through step-by-step how to solve this equation and explain the logic behind each step — all while optimizing your search for math learners seeking clear solutions.", "---", "## Step-by-Step Solution to ( 25x - (500 + 10x) = 1000 )", "### Step 1: Distribute the Negative Sign\nFirst, remove the parentheses by distributing the negative sign:", "[\n25x - 500 - 10x = 1000\n]", "### Step 2: Combine Like Terms\nCombine the terms containing ( x ):", "[\n(25x - 10x) - 500 = 1000\n]\n[\n15x - 500 = 1000\n]", "### Step 3: Isolate the Variable Term\nAdd 500 to both sides to eliminate the constant term on the left:", "[\n15x = 1000 + 500\n]\n[\n15x = 1500\n]", "### Step 4: Solve for ( x )\nDivide both sides by 15 to isolate ( x ):", "[\nx = \frac{1500}{15} = 100\n]", "---", "## Final Answer", "[\n\boxed{x = 100}\n]", "---", "## Why This Equation Matters for Students and Learners", "- Foundation Building: Perfect for mastering basic algebraic manipulation and combining like terms.\n- Practical Application: Such equations often model real-life scenarios like budgeting, cost calculations, or mixing solutions.\n- SEO-Ready Topics: Optimized phrasing like “how to solve 25x – (500 + 10x) = 1000” or “step-by-step linear equation solver” helps attract learners searching for clear math help online.", "---", "## More Resources to Learn Algebra", "- How to Solve Linear Equations Graphically and Algebraically\n- Practical Tips for Simplifying Algebraic Expressions\n- Common Mistakes When Solving One-Step Equations\n- Interactive Algebra Solver Tools for Instant Verification", "---", "### Key Search Terms for Learners", "- Solve ( 25x - (500 + 10x) = 1000 )\n- Linear equation step-by-step solution\n- How to simplify parentheses and solve for x\n- Easy way to solve 25x – 10x – 500 = 1000\n- Algebra help with negative expressions", "---", "Understanding this equation not only finds the value ( x = 100 ), but strengthens your problem-solving toolkit for more advanced math challenges. Keep practicing — flattening linear equations step by step is your path to algebra mastery!"]