x = -\frac{150}{2(-5)} = \frac{150}{10} = 15

["### Simplifying an Expression: Solving ( x = -\frac{150}{2(-5)} = \frac{150}{10} = 15 )", "Understanding how to simplify algebraic expressions is fundamental in mathematics, especially when solving equations. One clear example involves evaluating the expression ( x = -\frac{150}{2(-5)} ) and simplifying it step by step to arrive confidently at ( x = 15 ). This process not only demonstrates algebraic manipulation but also reinforces key concepts like negation, negative division, and fraction simplification.", "---", "### Step-by-Step Breakdown of the Expression", "Start with the original equation:", "[\nx = -\frac{150}{2(-5)}\n]", "#### Step 1: Analyze the denominator", "The denominator reads ( 2(-5) ). Multiplying these together:", "[\n2(-5) = -10\n]", "Now substitute this value back into the expression:", "[\nx = -\frac{150}{-10}\n]", "#### Step 2: Simplify the negative division", "Dividing two negative numbers yields a positive result:", "[\n-\frac{150}{-10} = \frac{150}{10}\n]", "#### Step 3: Perform the arithmetic division", "Calculate ( \frac{150}{10} ):", "[\n\frac{150}{10} = 15\n]", "---", "### Final Result and Verification", "We find:", "[\nx = -\frac{150}{2(-5)} = \frac{150}{10} = 15\n]", "This straightforward calculation illustrates how negatives interact in division and how simplifying fractions step-by-step leads to accurate answers.", "---", "### Why Understanding This Matters", "- Enhances Problem-Solving Skills: Breaking down expressions step by step builds logical thinking and precision.\n- Prepares for Advanced Topics: Skills in simplifying fractions and handling negative signs are foundational for algebra, calculus, and higher-level math.\n- Supports Real-World Applications: Whether calculating rates, financial relations, or scientific data, algebraic fluency enables clear and accurate reasoning.", "---", "### Learning Takeaways", "- Always simplify the denominator first before handling signs.\n- Remember that dividing two negatives gives a positive—key to avoiding sign errors.\n- Breaking complex expressions into smaller operations reduces mistakes and boosts confidence.", "By mastering how to evaluate expressions like ( x = -\frac{150}{2(-5)} ), students develop a stronger mathematical foundation and a deeper appreciation for algebraic clarity.", "---", "### Keywords for SEO Optimization", "- How to simplify algebraic expressions\n- Step-by-step solving for ( x )\n- Negative signs in fractions explained\n- Simplifying ( -\frac{150}{2(-5)} )\n- Algebraic simplification tutorial\n- Solving linear equations one step at a time\n- Fraction division with negative numbers\n- Learn math: From negatives to simple solutions", "---", "If you're learning algebra, practicing problems like this helps cement essential skills—turning complicated calculations into confident, predictable steps. Keep simplifying, keep calculating—success in math starts with clarity!"]