Dann \( x + (x+2) = 114 \) → \( 2x + 2 = 114 \) → \( 2x = 112 \) → \( x = 56 \).
["How to Solve the Equation: Dann’s X Equation (x + (x + 2) = 114)", "Solving simple algebraic equations is a fundamental skill in mathematics, essential for students, learners, and anyone interested in building a strong foundation in problem-solving. One classic example is solving the equation:", "Dann’s Equation:\n( x + (x + 2) = 114 )", "In this guide, we break down step-by-step how to solve this equation and arrive at the correct solution: ( x = 56 ). This method not only demonstrates algebraic manipulation but also highlights the logic behind isolating variables.", "---", "### Step 1: Understand the Equation", "We begin by interpreting the equation carefully. The expression ( x + (x + 2) = 114 ) represents the sum of two expressions: first ( x ), and then ( x + 2 ). The goal is to find the value of ( x ) that makes the equation true.", "---", "### Step 2: Simplify the Left Side", "Start by simplifying the left-hand side:", "[\nx + (x + 2) = x + x + 2 = 2x + 2\n]", "This simplification combines like terms, reducing the expression to ( 2x + 2 = 114 ).", "---", "### Step 3: Isolate the Variable Term", "To solve for ( x ), isolate the term with the variable ( x ):", "[\n2x + 2 = 114\n]", "Subtract 2 from both sides:", "[\n2x = 114 - 2 = 112\n]", "This step eliminates the constant, moving closer to isolating ( x ).", "---", "### Step 4: Solve for ( x )", "Now divide both sides by 2:", "[\nx = \frac{112}{2} = 56\n]", "Thus, the solution is ( x = 56 ).", "---", "### Why This Equation Matters", "This simple equation teaches core algebraic principles:\n- Combining like terms\n- Using inverse operations (subtraction and division)\n- Solving linear equations step-by-step", "Mastering these steps prepares learners for more complex algebra, such as multi-step equations, quadratic expressions, and real-world problem-solving in science, engineering, and finance.", "---", "### Final Answer", "[\n\boxed{x = 56}\n]", "---", "Remember: Whether you're solving equations for homework, exams, or personal growth, practice reinforces understanding. Start with simple equations like Dann’s and build confidence for advanced math challenges ahead!"]
