\[ 3x + 4(2x - 3) = 10 \]

["Solving ( 3x + 4(2x - 3) = 10 ): A Simple Step-by-Step Breakthrough", "Solving linear equations is a fundamental skill in algebra, essential for students, educators, and anyone looking to strengthen their math foundation. One of the most common types of equations encountered is one involving parentheses, like ( 3x + 4(2x - 3) = 10 ). Mastering how to tackle such equations not only improves problem-solving speed but also builds confidence in working with algebraic expressions. In this article, we’ll explore how to solve ( 3x + 4(2x - 3) = 10 ), step by step, while optimizing SEO for maximum online visibility.", "---", "### Understanding the Equation", "The equation ( 3x + 4(2x - 3) = 10 ) contains both a variable term (( 3x )) and a parenthetical expression (( 4(2x - 3) )). Parentheses indicate that the entire ( (2x - 3) ) must be multiplied by 4 before combining like terms. This foundational understanding is critical for accurate solving and forms the basis for further algebraic concepts.", "---", "### Step 1: Distribute the 4 Across the Parentheses", "Start by applying the distributive property:", "[\n3x + 4(2x - 3) = 10\n\Rightarrow 3x + (4 \cdot 2x) - (4 \cdot 3) = 10\n\Rightarrow 3x + 8x - 12 = 10\n]", "Distributing the 4 gives us ( 8x - 12 ), simplifying the equation to combine like terms:", "[\n3x + 8x - 12 = 10\n\Rightarrow 11x - 12 = 10\n]", "---", "### Step 2: Isolate the Variable Term", "Add 12 to both sides to move the constant to the right side:", "[\n11x - 12 + 12 = 10 + 12\n\Rightarrow 11x = 22\n]", "---", "### Step 3: Solve for ( x )", "Now divide both sides by 11:", "[\nx = \frac{22}{11} = 2\n]", "---", "### Verification: Check Your Answer", "Plugging ( x = 2 ) back into the original equation:", "[\n3(2) + 4(2(2) - 3) = 6 + 4(4 - 3) = 6 + 4(1) = 6 + 4 = 10\n]", "The equation holds true, confirming that the solution is correct.", "---", "### Why This Equation Matters (And Why SEO Needs It)", "Understanding how to solve equations like ( 3x + 4(2x - 3) = 10 ) is crucial for students preparing for algebra exams, standardized tests, or further STEM studies. It reinforces core skills such as distributive property, combining like terms, and isolating variables—skills directly applicable to real-world modeling in science, finance, and engineering.", "From an SEO perspective, articles explaining step-by-step algebraic problems, especially with practical examples like this one, rank well for search queries such as:", "- „How to solve 3x + 4(2x – 3) = 10“\n- „Linear equation solving steps tutorial“\n- „Algebraic equations for high school students“\n- „Step-by-step way to simplify and solve parenthetical expressions“", "Including long-tail keywords, clear headings, and concise explanations increases visibility and user engagement, turning this internal math skill into a powerful SEO asset.", "---", "### Summary", "- Equation: ( 3x + 4(2x - 3) = 10 )\n- Solution: ( x = 2 )\n- Key Steps: Distribute inside parentheses, combine like terms, isolate ( x ), verify\n- SEO Focus: Target long-tail keywords, explain each step clearly, emphasize practical math skills", "Mastering this problem isn’t just about solving one equation—it’s about developing a solid foundation in algebra that empowers learners across academics and careers.", "---", "Related Articles:", "- Mastering Distributive Property: Essential for Solving Linear Equations\n- How to Simplify Expressions with Parentheses in Algebra\n- Investing in Algebra: Why Solving Equations Matters for Students", "Start solving smarter with clear, confident steps—your next math breakthrough begins here!"]