Solve for \( x \): \( 15x - 5x = 200 \), thus \( 10x = 200 \).
["How to Solve the Equation ( 15x - 5x = 200 ): Step-by-Step Guide", "Have you ever found yourself struggling to solve a simple linear equation? One commonly encountered problem in algebra is solving equations like ( 15x - 5x = 200 ). It may seem basic, but understanding how to solve it step-by-step builds a strong foundation in algebraic reasoning. In this article, we’ll walk through solving ( 15x - 5x = 200 ), demonstrating how to simplify and isolate ( x ) to find its value.", "---", "Step 1: Combine Like Terms on the Left Side", "The equation starts as:\n[\n15x - 5x = 200\n]", "Notice that ( 15x ) and ( -5x ) are like terms because they both involve the variable ( x ). To simplify, combine the coefficients:\n[\n(15 - 5)x = 200\n]\n[\n10x = 200\n]", "This step is crucial because it reduces the equation to a more manageable form, showing clearly how much ( x ) contributes to the total.", "---", "Step 2: Solve for ( x ) by Dividing Both Sides by 10", "Now that we have ( 10x = 200 ), to isolate ( x ), divide both sides of the equation equally by 10:\n[\nx = \frac{200}{10}\n]\n[\nx = 20\n]", "This division confirms that ( x = 20 ) is the solution—meaning when multiplied by 10, it satisfies the original equation.", "---", "Why This Equation Matters", "At first glance, ( 15x - 5x = 200 ) may seem trivial, but it teaches key algebraic principles: simplifying expressions, combining like terms, and isolating variables. Mastering these skills helps with more complex problems in math, physics, engineering, and everyday problem-solving.", "---", "Verification: Check Your Solution", "Always verify your answer. Substitute ( x = 20 ) into the original equation:\n[\n15(20) - 5(20) = 300 - 100 = 200\n]\nThe left-hand side equals 200, confirming the solution is correct.", "---", "Summary", "- Combine like terms: ( 15x - 5x = 10x )\n- Isolate ( x ): ( 10x = 200 \Rightarrow x = 200 \div 10 = 20 )\n- Verification confirms the accuracy.", "Understanding how to solve equations like ( 15x - 5x = 200 ) isn’t just about memorizing steps—it’s about building logical thinking and precision. Keep practicing, and algebra will become second nature!", "For further practice, try similar equations such as ( 7x + 4 - 3x = 440 ) or ( 9x - 18 = 63 ). Each equation strengthens your ability to manipulate variables and equations confidently.", "---", "Keywords for SEO:\nsolve for x, algebraic equations, linear equation 15x - 5x = 200, step-by-step algebra, simple equation solving, isolate x, math tutorial, algebra basics, equation simplification, verify solution, easier algebra problems"]
