\[ 2(3w + 5) = 58 \] - Richter Guitar
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:
📰 Logged In? Heres How to Cleanse Any Image — But Its Like Magic (You Wont Find Online!) 📰 You Wont Believe How Easy It Is to Switch from Windows 11 to Windows 10—Heres the Sprint! 📰 Transform Your PC Instantly: Switch from Windows 11 to Windows 10 in Minutes! 📰 Ermahgerd 9651127 📰 Define Invariably 8841027 📰 Best Reusable Water Bottles 1390849 📰 Saint Edwards University 7808849 📰 How The Blossoming Garden Proved Resurrection Still Matters On Resurrection Sunday 6091366 📰 David Burke Tavern 216130 📰 Unlock Your Career Top 5 Must Take Sharepoint Courses You Cant Miss 4460856 📰 Sass Browser Movie 7296399 📰 Growa Garden In 7 Days Heres How You Can Too No Green Thumb Required 5335265 📰 Arrington Funeral Home 4615031 📰 Wells Fargo Cuenta 4405605 📰 Whole Life Vs Term Insurance 4431762 📰 Can This Lucky Block Mod Change Your Fortune Experts Weigh In 8149271 📰 Dont Miss This Pb Price Spikes To All Time Highsee How Its Changing Trading Forever 1507186 📰 Cheap Hotels In San Antonio 5407475Final 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.
