\(3 - 1.5 = 0.10x\).

["### Solving ( 3 - 1.5 = 0.10x ): A Step-by-Step Guide", "Solving linear equations like ( 3 - 1.5 = 0.10x ) is a fundamental math skill that appears in algebra, everyday problem-solving, and more advanced applications. Whether you're a student, teacher, or someone brushing up on math fundamentals, understanding how to solve this equation can boost your confidence and sharpen your analytical thinking.", "In this article, we’ll break down step-by-step how to solve ( 3 - 1.5 = 0.10x ), explain key algebraic concepts, and explore practical uses of this type of equation.", "---", "### Understanding the Equation", "Start with the equation:", "[\n3 - 1.5 = 0.10x\n]", "Step 1: Simplify the left side.\nCalculate ( 3 - 1.5 ):\n[\n3 - 1.5 = 1.5\n]\nSo the equation becomes:\n[\n1.5 = 0.10x\n]", "This simplification is essential—it reveals what we're solving for: ( x ) multiplied by 0.10 equals 1.5.", "---", "### Isolating ( x )", "To isolate ( x ), divide both sides of the equation by 0.10:", "[\nx = \frac{1.5}{0.10}\n]", "Step 2: Perform the division.\nDividing 1.5 by 0.10:\n[\nx = 1.5 \div 0.10 = 15\n]", "Alternatively, to avoid decimals: multiply numerator and denominator by 100:\n[\nx = \frac{150}{10} = 15\n]", "---", "### Final Answer", "[\n\boxed{x = 15}\n]", "This means that when ( 3 - 1.5 = 0.10x ), the unknown value of ( x ) that satisfies the equation is 15.", "---", "### Key Concepts Explained", "- Linear Equation: An equation where the variable ( x ) has an exponent of 1 (no exponents, roots, or functions).\n- Isolating Variables: The goal is to get the variable by itself on one side of the equation using inverse operations.\n- Using Decimals in Equations: Historical or contextual problems sometimes use decimals—instead of fractions, dividing by decimals is straightforward. Converting to fractions simplifies mental math.", "---", "### Real-World Applications", "Understanding how to solve equations like ( 3 - 1.5 = 0.10x ) helps in many real-life scenarios:", "- Finance: Calculating interest, discounts, or monthly payments divided by rate.\n- Science: Determining concentrations, scaling measurements, or reaction rates.\n- Programming: Implementing calculations based on variable inputs.\n- Everyday Planning: Solving for unknown quantities in budgets, travel time, or quantities purchased.", "---", "### Bonus Tips for Solving Linear Equations", "1. Simplify first: Always combine like terms and simplify numbers before solving.\n2. Use inverse operations: Add/subtract to undo addition/subtraction; multiply/divide to undo multiplication/division.\n3. Check your work: Plug ( x = 15 ) back into the original equation:\n[\n3 - 1.5 = 0.10 \ imes 15 \quad \Rightarrow \quad 1.5 = 1.5 \quad \checkmark\n]\nCorrect!", "---", "### Summary", "The equation ( 3 - 1.5 = 0.10x ) simplifies to ( 1.5 = 0.10x ), leading to the solution ( x = 15 ). Mastering such steps not only helps with algebra but forms the foundation for tackling more complex mathematical and real-world problems. With practice, solving for variables becomes intuitive, clear, and empowering.", "---", "### Related Search Terms", "- Solve ( 3 - 1.5 = 0.10x )\n- Linear equation solving steps\n- How to solve decimals in equations\n- Algebra practice problems\n- Real-world applications of linear equations", "---", "Start solving equations confidently—your math skills will grow every step of the way!"]