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

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:

📰 Discover What Hidden Dangers Lurk in Area Code 437’s Shadows 📰 This Area Code Has Been Linking to a Life-Altering Shock—You Have to See It 📰 UNDERCOVER TRUTH ABOUT AREA CODE 425 NO ONE DIZZY FROM THE SECRETS HIDDEN HERE 📰 Grell Black Butler Exposed The Ultimate Secret To Ultra Stylish Service 📰 Grell Black Butler Secrets Why This Master Of Discipline Will Change Your Home 📰 Grell Sutcliff Exposed The Massive Reason Why This Name Is Taking Over The Internet 📰 Grell Sutcliff Shocked Meheres The Controversial Secret Behind His Massive Impact 📰 Gremlin Movie Recap The Night The Monsters Took Over The Silver Screen 📰 Gremlin Movie Secrets Exposed The Scariest Twist You Didnt See Coming 📰 Gren Weiss This Luxury Trend Is Taking Over Heres Why 📰 Gren Weiss Vs All The Rest The Ultra Stylish Truth You Need To Know Now 📰 Grendels Mother Exposed The Legend Behind The Legend Shocking Secrets Inside 📰 Grendels Mother The Hidden Monster You Never Knew Existed 📰 Grenetina Hacks Every Cook Is Making Color Me Bluff Check Out The Secret 📰 Gretchen Grundler Exposed Now The Hidden Message Thats Going Viral 📰 Gretchen Grundler Unmasks The Truth You Wont Believe What She Revealed 📰 Gretchen Grundlers Secret That Will Change Everything About Her Career 📰 Gretchen Scott Exposed Something No One Anticipated Watch The Full Story Now

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.