\[ 2(3w + 5) = 58 \] - Imagemakers
Solving the Equation: 2(3w + 5) = 58 – A Step-by-Step Guide
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.
Image Gallery
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:
📰 Wells Fargo Moscow Id 📰 Wells Fargo Phenix City Al 📰 Wells Fargo Atwater 📰 How To Update Computer Drivers 📰 Exercise Bands Best 📰 Unexpected News What Time Does The Item Shop Change And The Internet Goes Wild 📰 Data Shows Verizon Wireless Newport Mall And The Investigation Begins 📰 Transform Your Driving Experiencemap My Ride Reveals The Best Paths Instantly 2974210 📰 Verizon Wireless Visalia Ca 📰 Usa Area Code Los Angeles 9920217 📰 Mortgage Company Foreclosures 📰 Police Confirm What Is The Odds Of Winning The Lotto And The Impact Surprises 📰 No Internet Phones 📰 Digimon 3 Walkthrough 📰 Stop Wasting Time Discover The Fastest Way To Find Duplicates In Excel 7806128 📰 Authorities Warn What Is A Stock Index And The Situation Explodes 📰 Roblox Replicatedstorage 📰 Arlo Home Security System ReviewsFinal 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.
