\[ 2(3w + 5) = 58 \] - Londonproperty
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.
![\[ 2(3w + 5) = 58 \]](https://soloferat.biz.id/images/-23w--5--58-.jpg)
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:
📰 5A soil scientist measures soil organic matter content in four experimental fields. Field A has 3.2% organic matter, Field B has 4.5%, Field C has 2.8%, and Field D has 5.1%. If she mixes equal samples from each field to create a composite sample, what is the organic matter percentage in the composite? 📰 Average organic matter = (3.2 + 4.5 + 2.8 + 5.1) / 4 = <<3.2+4.5+2.8+5.1=15.6>>15.6 / 4 = <<15.6/4=3.9>>3.9% 📰 #### 3.9 📰 You Wont Believe What Garganelli Does To Sauce Consistency 📰 You Wont Believe What Garita Nogales Sonora Mexico Verfgbarkeit Reveals Behind Closed Doors 📰 You Wont Believe What Garlic Cloves Can Doinside This Powerful Clove 📰 You Wont Believe What Garlic Powder Does Before It Gets Cooked 📰 You Wont Believe What Garnachas Hides In Every Bite 📰 You Wont Believe What General Icu Rn A V2 Does Behind Closed Doors 📰 You Wont Believe What General Mobile Apps Can Do For Your Life 📰 You Wont Believe What Genesis Harlo Anthony Said On Camera 📰 You Wont Believe What Genmaicha Does To Your Mind And Body 📰 You Wont Believe What Genyan Did When She Caught You Off Guard 📰 You Wont Believe What George Droid Built When He Finally Stopped Hacking 📰 You Wont Believe What Gertie Davis Hidden Away In Old Letters 📰 You Wont Believe What Gforce Arms Can Hold In Battle 📰 You Wont Believe What Ghosts Whisper Beneath This Forgotten Fairway 📰 You Wont Believe What Ginger Dandys Drove Across Townits UnbelievableFinal 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.
