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

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:

📰 Navel piercing: the silent rebellion everyone’s too afraid to copy 📰 Your skin feels broken—here’s the body lotion that changes everything overnight 📰 Stop dryness in its tracks—only the magic formula that deeply hydrates all day 📰 How Tall Is Eminem Psychology Behind His Iconic Stature Revealed 📰 How Tall Is Godzilla Scientists Just Weighed This Monumental Monster 📰 How Tall Is Goku You Wont Believe The Shocking Truth Behind The Saiyan Stature 📰 How Tall Is Justin Bieber You Wont Believe The Real Number Behind The Fame 📰 How Tall Is Kim Kardashian The Surprising Answer You Need To See 📰 How Tall Is Mario The Truth Behind The Iconic Super Heros Size 📰 How Tall Is Master Chief The Official Guide To His Towering Legend 📰 How Tall Is Post Malone The Surprising Answer You Need To Know Now 📰 How Tall Is Real Kratos The Shocking Answer Is Being Broken By Fans Every Day 📰 How Tall Is Rory Mcilroy Athletes Reveal His Perfect Height Price Tag 📰 How Tall Is Rory Mcilroy The Unexpected Truth Behind R Of Distinction 📰 How Tall Is Tall Experts Uncover The Real Height Factors Today 📰 How Tall Is Taylor Swift The Surprising Stat That Ignites Endless Debate 📰 How Tall Is The One And Only Justin Bieber The Debate That Shocked Fans 📰 How Tall Is Vegeta The Shocking Mystery Behind This Z Fighters Height Revealed

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.