Their sum is \( x + (x+2) + (x+4) = 3x + 6 = 90 \).
["Solving the Equation: ( x + (x + 2) + (x + 4) = 90 )", "Balancing equations is a fundamental skill in algebra, and today we’re solving one classic linear equation:\n[\nx + (x + 2) + (x + 4) = 90\n]\nWhether you're a student learning algebra or just brushing up on math fundamentals, understanding how to simplify and solve such expressions can save time and boost confidence. Let’s walk through solving this equation step-by-step.", "---", "### Step 1: Expand the Expression", "Start by expanding the left-hand side of the equation:\n[\nx + (x + 2) + (x + 4) = x + x + 2 + x + 4\n]\nNow combine like terms:\n- The variable terms: (x + x + x = 3x)\n- The constant terms: (2 + 4 = 6)", "So the equation simplifies to:\n[\n3x + 6 = 90\n]", "---", "### Step 2: Isolate the Variable", "To solve for (x), first subtract 6 from both sides:\n[\n3x + 6 - 6 = 90 - 6 \implies 3x = 84\n]", "Then divide both sides by 3:\n[\nx = \frac{84}{3} = 28\n]", "---", "### Step 3: Verify the Solution", "Plugging (x = 28) back into the original equation confirms correctness:\nLeft-hand side:\n[\n28 + (28 + 2) + (28 + 4) = 28 + 30 + 32 = 90\n]\nRight-hand side: (90) — both sides match perfectly.", "---", "### Why This Equation Matters", "Linear equations like (x + (x + 2) + (x + 4) = 90) appear in real-life problems involving patterns, uniform increments, or total sums. For example, if you’re analyzing evenly spaced data points, total revenue over three periods with incremental growth, or distributing equal increments summing to a target — such equations help model and solve real situations efficiently.", "---", "### Summary", "- Original equation: (x + (x + 2) + (x + 4) = 90)\n- Simplified: (3x + 6 = 90)\n- Solved using combining like terms and inverse operations:\n [\n 3x = 84 \implies x = 28\n ]\n- Verified by substitution, ensuring accuracy.", "---", "### Want More?", "Explore how to solve similar equations involving series of terms, practice with word problems, or dive deeper into algebraic principles. Mastering these basics unlocks advanced math topics like systems of equations, graphs, and functions.", "---", "Keywords: solves linear equation, solve (3x + 6 = 90), algebra tutorial, step-by-step equation solving, sum of linear terms, x value find, 28 solution, algebraic equations, educational math guide."]
