Sum: \( x + (x+2) + (x+4) = 3x + 6 = 90 \).

["# Solving the Equation: ( x + (x+2) + (x+4) = 90 ) – A Complete Step-by-Step Guide", "If you’re studying algebra, mastering equation solving is essential—and today, we’ll break down the sum:\n[ x + (x+2) + (x+4) = 90 ]\nstep by step. Not only will this help you solve this specific problem, but it also strengthens your understanding of linear equations, simplifying expressions, and combining like terms—skills crucial for everyday math and advanced problem-solving.", "---", "## Step 1: Understand the Expression", "The equation represents the sum of three linear expressions:\n[ x + (x + 2) + (x + 4) ]", "Inside the parentheses, each term contains ( x ) plus a constant:\n- First term: ( x )\n- Second term: ( x + 2 )\n- Third term: ( x + 4 )", "Since these are being added together:\n[ x + (x + 2) + (x + 4) ]", "---", "## Step 2: Simplify the Left Side", "Combine like terms step by step.", "Start by removing parentheses:\n[ x + x + 2 + x + 4 ]", "Now combine the ( x )-terms:\n[ x + x + x = 3x ]", "And add the constants:\n[ 2 + 4 = 6 ]", "So the simplified left side is:\n[ 3x + 6 ]", "---", "## Step 3: Set Equation Equal to 90", "Now rewrite the original equation with the simplified expression:\n[ 3x + 6 = 90 ]", "This is a standard linear equation in one variable.", "---", "## Step 4: Solve for ( x )", "### Step 4.1: Subtract 6 from Both Sides\nTo isolate the term with ( x ), subtract 6 from both sides:\n[ 3x + 6 - 6 = 90 - 6 ]\n[ 3x = 84 ]", "### Step 4.2: Divide Both Sides by 3\nNow divide both sides by 3 to solve for ( x ):\n[ \frac{3x}{3} = \frac{84}{3} ]\n[ x = 28 ]", "---", "## Step 5: Verify the Solution", "Plug ( x = 28 ) back into the original equation to confirm:\n[ x + (x+2) + (x+4) = 28 + (28+2) + (28+4) ]\n[ = 28 + 30 + 32 = 90 ]", "✅ The equation holds true—so our solution is correct.", "---", "## Why This Problem Matters", "Understanding how to combine like terms, simplify expressions, and isolate variables is foundational in algebra. This kind of equation appears frequently in:\n- Physics basics (motion, forces)\n- Budgeting and financial calculations\n- Programming logic\n- Advanced math topics such as calculus and linear algebra", "---", "## Summary", "Solving ( x + (x+2) + (x+4) = 90 ) involves:\n1. Simplifying the left-hand side by combining like terms → ( 3x + 6 )\n2. Setting the equation equal to 90\n3. Isolating ( x ) through inverse operations\n4. Verifying the solution", "Final Answer:\n[ \boxed{x = 28} ]", "---", "Keywords for SEO:\nsum equation ( x + (x+2) + (x+4) = 90 ), solve linear equation, simplify algebraic expressions, step-by-step algebra tutorial, how to solve 3x + constants = number, algebra problem solving guide, step-by-step linear equation solver", "Meta Title: Solve ( x + (x+2) + (x+4) = 90 ) — Step-by-Step Algebra Solution\nMeta Description: Learn how to simplify and solve the equation ( x + (x+2) + (x+4) = 90 ) with clear steps, ideal for students and math learners."]