2x = -6 + \frac{96}{11} = \frac{-66 + 96}{11} = \frac{30}{11} \\

["Understanding the Equation: Solving 2x = −6 + (\frac{96}{11})", "Mastering algebraic equations is essential for academic success and real-world problem solving. Today, we break down the step-by-step solution to the equation:", "[\n2x = -6 + \frac{96}{11} = \frac{-66 + 96}{11} = \frac{30}{11}\n]", "This transformation reveals not only how to solve for (x), but also clarifies key algebraic operations, including combining constants with fractions. Let’s explore how this equation unfolds and why understanding each step matters.", "---", "### Step 1: Simplify the Right-Hand Side (RHS)", "We begin with:", "[\n2x = -6 + \frac{96}{11}\n]", "To combine the constant (-6) with (\frac{96}{11}), we express (-6) as a fraction with denominator 11:", "[\n-6 = -\frac{66}{11}\n]", "Now substitute back:", "[\n2x = -\frac{66}{11} + \frac{96}{11}\n]", "Since the denominators are the same, subtract numerators:", "[\n2x = \frac{-66 + 96}{11} = \frac{30}{11}\n]", "---", "### Step 2: Solve for (x)", "Now divide both sides by 2 to isolate (x):", "[\nx = \frac{30}{11} \div 2 = \frac{30}{11} \cdot \frac{1}{2} = \frac{30}{22} = \frac{15}{11}\n]", "Thus, the solution is:", "[\nx = \frac{15}{11}\n]", "---", "### Why This Breakdown Matters", "Understanding how to combine fractions and constants in equations helps students strengthen foundational algebra skills. The process illustrates:", "- How to manage negative numbers in fractions\n- The necessity of common denominators\n- Effective methods for isolating variables", "These skills empower learners not only to solve equations but to analyze and verify their work methodically—a crucial ability in advanced math and STEM fields.", "---", "### Final Thoughts", "Solving equations like (2x = -6 + \frac{96}{11}) is more than arithmetic—it's about direction, clarity, and precision. After computing:", "[\n2x = \frac{30}{11} \Rightarrow x = \frac{15}{11}\n]", "you now know how to confidently handle similar expressions in homework, exams, or professional applications. Keep practicing — every equation solves one step closer to mastery!", "---", "Keywords for SEO:\n- solve 2x = -6 + 96/11\n- simplify fractional equations\n- algebra step-by-step solving\n- equation solving tutorial\n- fractions with constants\n- how to divide by 2 in algebra\n- combining fractions and integers", "Meta Description:\nLearn how to solve the equation (2x = -6 + \frac{96}{11}) by combining constants, simplifying fractions, and isolating (x). Step-by-step breakdown with practical tips for algebra mastery.", "---", "Elevate your math skills—start solving equations with confidence today!"]