["Understanding the Equation: x + (x + 2) + (x + 4) = 90 – A Step-by-Step Breakdown", "Solving simple algebraic equations like x + (x + 2) + (x + 4) = 90 may seem straightforward, but it’s a foundational skill with wide applications in mathematics, science, and everyday problem-solving. In this SEO-optimized article, we’ll explore how to solve this equation clearly, explain the steps involved, and highlight its importance in building stronger math confidence.", "---", "### What Is the Equation: x + (x + 2) + (x + 4) = 90?", "At first glance, the equation combines three linear expressions:
\nx + (x + 2) + (x + 4)", "This expression represents the sum of three values:
\n- the unknown variable ( x ),
\n- ( x + 2 ),
\n- and ( x + 4 ).", "These terms all depend on the value of ( x ), and the equation asks for what value of ( x ) makes the total equal 90.", "---", "### Step-by-Step Solution", "#### Step 1: Expand the expression
\nCombine like terms by simplifying the left-hand side:
\n[
\nx + (x + 2) + (x + 4) = x + x + 2 + x + 4
\n]", "Group the ( x )-terms and constant terms:
\n[
\n( x + x + x ) + (2 + 4) = 3x + 6
\n]", "So the equation becomes:
\n[
\n3x + 6 = 90
\n]", "#### Step 2: Isolate the variable
\nSubtract 6 from both sides:
\n[
\n3x = 90 - 6 = 84
\n]", "#### Step 3: Solve for ( x )
\nDivide both sides by 3:
\n[
\nx = \frac{84}{3} = 28
\n]", "---", "### Verification
\nPlug ( x = 28 ) back into the original equation to confirm:
\n[
\n28 + (28 + 2) + (28 + 4) = 28 + 30 + 32 = 90
\n]
\nThe equation holds true, confirming our solution.", "---", "### Why This Equation Matters – Educational & Practical Benefits", "- Building Algebraic Foundations: This type of equation introduces students to combining like terms, simplifying expressions, and isolating variables—essential skills for higher-level math.
\n- Real-World Applications: Such equations model scenarios in budgeting, physics (motion problems), and data analysis where total values are sums of linear components.
\n- Boosts Problem-Solving Confidence: Mastering step-by-step solving enhances logical thinking and attention to detail.", "---", "### Tips for Solving Similar Linear Equations", "- Always combine like terms carefully.
\n- Use inverse operations strategically to isolate ( x ).
\n- Verify answers by substituting back into the original equation.
\n- Practice with varied coefficients and constants to build fluency.", "---", "### Conclusion", "The equation x + (x + 2) + (x + 4) = 90 may appear simple, but solving it step-by-step reinforces core algebraic techniques. Whether you’re a student tackling homework or someone exploring math basics, mastering such equations strengthens your analytical toolkit. Start simple, verify often, and remember: each step brings you closer to the solution.", "---", "Keywords: equation x + (x+2) + (x+4) = 90, solve linear equations, algebra basics, step-by-step math solution, equation solving tips, math practice problems, x + (x+2) + (x+4) = 90 answer, how to solve algebra, foundation algebra skills", "---", "Meta Description:
\nLearn how to solve the equation x + (x + 2) + (x + 4) = 90 using step-by-step algebra. Perfect for students and math learners seeking clarity on solving basic linear equations with real-world relevance.", "---", "Optimized for search engines with high-intent keywords, clear structure, and practical value."]
