\[ 2(3w + 5) = 58 \]

Solving the Equation: 2(3w + 5) = 58 – A Step-by-Step Guide

Mastering algebra is essential for students, educators, and anyone looking to strengthen problem-solving skills. One of the most common equation types involves distributing, combining terms, and isolating variables — and the equation 2(3w + 5) = 58 is a perfect example. In this SEO-friendly article, we’ll break down how to solve this equation clearly, accurately, and using keywords that boost visibility for learners seeking algebra help.

Understanding the Context

What is the Equation We’re Solving?

We begin with:
2(3w + 5) = 58

This equation tells us that twice the quantity (3w + 5) equals 58. To find the value of the variable w, we follow a standard sequence of operations: distributing, simplifying, isolating the variable, and solving.

$2(3w + 5) = 58$

Key Insights

Step-by-Step Solution

Step 1: Distribute the 2

Multiply 2 with both terms inside the parentheses:
2 × (3w + 5) = 2 × 3w + 2 × 5
→ 6w + 10 = 58

This step eliminates parentheses and prepares the equation for simplification.

Step 2: Subtract 10 from Both Sides

To isolate the term with the variable, subtract 10 from both sides:
6w + 10 – 10 = 58 – 10
→ 6w = 48

Step 3: Divide Both Sides by 6

Now divide both sides by 6 to solve for w:
6w ÷ 6 = 48 ÷ 6
→ w = 8

🔗 Related Articles You Might Like:

📰 Combine logs: log₂[(x + 3)(x − 1)] = 3 📰 x² + 2x − 3 = 8 📰 x² + 2x − 11 = 0 📰 To Place K 4 Non Adjacent Hs In N 7 Positions 📰 To Rationalize The Denominator Multiply Numerator And Denominator By The Conjugate Sqrt5 Sqrt3 📰 To Resolve Lets Assume In 24 Hours The Minute Gear Rotates 720 Times Speed 30 Rotations Per Hour 📰 To Solve This We First Compute The Total Number Of 6 Nucleotide Sequences Using A And T Which Is 26 64 📰 Tobey Maguires Romantic Action Movies You Shouldve Watched Longerclients Choice 📰 Tobey Maguires Untold Movies You Never Knew Existed Shocking Reveals 📰 Tokyo Pats Overzooms Who Holds The Nfls Breaking Rushing Yards Title This Year 📰 Tom Cruise Reveals His Shocking Reaction In The Forbidden Movie No Ones Talking About 📰 Tom Cruises Blind Spot This Hidden Twist In His Latest Movie Will Blow Your Mind 📰 Too Cool To Ignore Mrts Rise To Fame Secrets You Wont Want To Miss 📰 Top 10 Absolute Stunning Mountain Backgrounds That Will Scene Your Social Media Feed 📰 Top 10 Adorable Mini Pumpkins You Need For Your Garden Or Front Porch 📰 Top 10 Battle Destroying Dbz Movies You Must Stream Asap 📰 Top 10 Best Minecraft Floor Designs Every Builder Must Try For Instant Flair 📰 Top 10 Creative Minecraft House Ideas For Your Dream Digital Farmhouse

Final Thoughts

Verification – Check the Solution

Plug w = 8 back into the original equation to confirm:
2(3(8) + 5) = 2(24 + 5) = 2 × 29 = 58 — matches perfectly!

Why This Equation Matters – Educational Relevance

Equations like 2(3w + 5) = 58 are foundational in algebra. They teach:

Distributive property: Multiplying across parentheses
Operations and balance: What you do to one side, do to the other
Solution strategies: Isolating variables through inverse operations

Parents and students often search for clear, step-by-step algebra solutions to reinforce classroom learning — and understanding such equations helps build confidence and analytical thinking.

SEO Keywords for This Article

Solve 2(3w + 5) = 58
How to solve linear equations
Algebraic equations step-by-step
Step-by-step solving 2(3w + 5) = 58
W value in equation
Algebra basics for beginners
Solving linear equations online guide

By targeting these keywords naturally in headers, sentences, and meta descriptions, your article ranks well with search queries related to algebra help and equation solving.