Their sum is \( x + (x+2) + (x+4) = 3x + 6 = 54 \).
["How to Solve the Equation: ( x + (x+2) + (x+4) = 54 ) – Step-by-Step Guide", "Understanding how to solve equations like ( x + (x+2) + (x+4) = 54 ) is essential for mastering algebra. Whether you're a student preparing for exams or someone looking to sharpen foundational math skills, breaking down this problem step-by-step will help you solve similar equations with confidence.", "---", "### Understanding the Equation", "The equation given is:\n[\nx + (x + 2) + (x + 4) = 54\n]", "This expression involves three linear terms each containing the variable ( x ), plus constants. Adding these together simplifies to combine like terms, making it easier to isolate ( x ).", "---", "### Step-by-Step Solution", "1. Expand and Combine Like Terms\nStart by expanding each term inside the parentheses — though in this case, they’re already simplified:\n[\nx + x + 2 + x + 4 = 54\n]", "Now combine the ( x )-terms and constants:\n[\n(1x + 1x + 1x) + (2 + 4) = 54\n]\n[\n3x + 6 = 54\n]", "2. Isolate the Variable\nSubtract 6 from both sides to move the constant to the right:\n[\n3x = 54 - 6\n]\n[\n3x = 48\n]", "3. Solve for ( x )\nDivide both sides by 3:\n[\nx = \frac{48}{3} = 16\n]", "---", "### Verification\nPlug ( x = 16 ) back into the original equation to check:\n[\n16 + (16 + 2) + (16 + 4) = 16 + 18 + 20 = 54\n]\nThe left-hand side equals the right-hand side, confirming the solution is correct.", "---", "### Why This Formula Matters", "This type of equation—sum of consecutive linear expressions—commonly appears in algebra when solving problems related to sequences, averages, or real-world word problems involving constant increments. Mastering its structure fluently prepares you for more complex equations involving quadratics, systems of equations, and inequalities.", "---", "### Final Answer", "[\n\boxed{x = 16}\n]", "---", "### Additional Tips for Practice\n- Always combine like terms carefully.\n- Write out each simple step to avoid mistakes.\n- Always verify your solution by substituting back into the original equation.", "---", "Keyword-focused SEO elements:\n- #SolveLinearEquations\n- #AlgebraBasics\n- #StepByStepMath\n- #EquationProblemSolve\n- #SumOfLinearTerms\n- #MathTutorial\n- #EquationsForStudents", "Start practicing with equations like ( x + (x+2) + (x+4) = 54 ) and watch your algebra confidence grow!"]
