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

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:

📰 Papa Bear’s Secret Past Will Shock Every Survivor of His Daughter’s Revelation 📰 The Hemlock Woods Hide Simple Truth About Papa Bear That No One Wants to Know 📰 How Papa Bear Became the Monster Behind the Love We Once Saw 📰 Cos Theta Frac55 Cdot Sqrt5 Frac1Sqrt5 Fracsqrt55 📰 Cos2Lpha 90Circ Cos90Circ 2Lpha Sin2Lpha Quad Ext No 📰 Cos2Lpha 90Circ Cos90Circ 2Lpha Sin2Lpha Quad Extonly If Adjusting Sign Properly 📰 Cos2Lpha 90Circ Cos90Circ 2Lpha Sin2Lpha Quad Extsince Cos90Circ X Sin X Ext 📰 Cos2Lpha 90Circ Sin2Lpha 📰 Cosheta1 Heta2 Cos 60Circ Rac12 📰 Cosleft Theta Lefttheta Frac2Pi7 Right Right Cosleft Frac2Pi7 Right Cosleft Frac2Pi7 Right 📰 Coslpha 90Circ Lpha Cos2Lpha 90Circ Rac13 📰 Coslpha Eta Rac13 📰 Could The Philosophers Stone Actually Turn Lead Into Gold Scientists Are Obsessed 📰 Could This Pearl Crab Be Worth More Than Diamonds Explore The Miracle Of The Ultimate Pearl Crab 📰 Countdown Just Began The Iconic Persona 5 Release Date Youve Been Waiting For 📰 Countdown To Gaming History Heres The Revolutionary Controller Behind The Playstation 30Th Anniversary 📰 Countdown To Pokemon Glory The 2025 Advent Calendar Une Crusts Colosal Rewards Inside Every Box 📰 Couples Secret Picnic Spots You Need To Visit For The Ultimate Date Dinero

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.