Solve the equation \(3(x - 2) + 4 = 2x + 10\).

["# Solve the Equation (3(x - 2) + 4 = 2x + 10) – A Step-by-Step Guide", "Solving linear equations is a fundamental skill in algebra, essential for students and math enthusiasts alike. One common equation often encountered is:", "[\n3(x - 2) + 4 = 2x + 10\n]", "In this comprehensive guide, we’ll walk through the step-by-step process of solving this equation, explain the reasoning behind each step, and highlight its practical importance. If you're learning algebra or brushing up on foundational math skills, this article will help you understand how to solve simple linear equations confidently.", "---", "## Step 1: Expand the Parentheses", "The first step is to eliminate the parentheses by distributing the 3 across the terms inside ((x - 2)):", "[\n3(x - 2) + 4 = 3 \cdot x - 3 \cdot 2 + 4 = 3x - 6 + 4\n]", "Combine the constants:", "[\n3x - 2\n]", "So, the equation becomes:", "[\n3x - 2 = 2x + 10\n]", "---", "## Step 2: Move All Variable Terms to One Side", "Now, subtract (2x) from both sides to gather all terms containing (x) on the left side:", "[\n3x - 2x - 2 = 2x - 2x + 10\n]", "Simplify:", "[\nx - 2 = 10\n]", "---", "## Step 3: Isolate the Variable", "Add 2 to both sides to isolate (x):", "[\nx - 2 + 2 = 10 + 2\n]", "[\nx = 12\n]", "---", "## Step 4: Check the Solution (Optional but Recommended)", "To verify the correctness, substitute (x = 12) back into the original equation:", "Left-hand side:\n[\n3(12 - 2) + 4 = 3(10) + 4 = 30 + 4 = 34\n]", "Right-hand side:\n[\n2(12) + 10 = 24 + 10 = 34\n]", "Both sides equal 34, confirming the solution is correct.", "---", "## Why This Equation Matters", "Solving equations like (3(x - 2) + 4 = 2x + 10) lays the foundation for understanding more complex algebraic concepts. These skills are crucial in fields such as physics, engineering, economics, and computer science, where balancing equations is a daily task. Mastery of linear equations improves analytical thinking, problem-solving speed, and logical reasoning.", "---", "## Conclusion", "Solving (3(x - 2) + 4 = 2x + 10) involves simple algebraic steps: expanding, combining like terms, isolating the variable, and verifying the result. With practice, this process becomes intuitive. Mastering such equations strengthens your mathematical foundation and prepares you for advanced topics.", "Whether you're a student preparing for exams or someone brushing up on algebra, understanding how to solve linear equations is both practical and empowering.", "---", "Keywords for SEO: solve (3(x - 2) + 4 = 2x + 10), quadratic equation solving steps, linear equation solver, algebra tutorial video, how to isolate x, step-by-step algebra, equation solving practice, mathematical problem solving.", "Meta Description:\nLearn how to solve the equation (3(x - 2) + 4 = 2x + 10) step-by-step. Master algebra fundamentals with clear explanations, verified solution, and real-world relevance. Start solving now!"]