\[ 2(3w + 5) = 58 \] - Treasure Valley Movers

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.

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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.

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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

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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!

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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.

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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.

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