3z - 8z = 2 + 5

Solving 3z – 8z = 2 + 5: A Step-by-Step Guide to Solve Linear Equations

Mathematics often presents challenges in the form of equations that demand step-by-step logic to unlock their solutions. One such equation that many students encounter is 3z – 8z = 2 + 5. While it might seem simple at first glance, understanding how to solve it properly not only helps with algebra basics but builds a strong foundation for more complex problem-solving.

In this article, we’ll break down how to solve 3z – 8z = 2 + 5, explain the important algebraic steps, and highlight why mastering such equations is key in both school and real-world applications.

Understanding the Context

What Is the Equation: 3z – 8z = 2 + 5?

At first glance, this is a linear equation involving one variable, z. Though the expression looks short, correctly simplifying and solving it requires attention to order of operations and basic algebraic principles.

Let’s rewrite it clearly:

Key Insights

3z – 8z = 2 + 5

Step 1: Simplify Both Sides

Start by simplifying both sides using arithmetic rules:

Left side: 3z – 8z = -5z
Right side: 2 + 5 = 7

🔗 Related Articles You Might Like:

📰 The Heartbreaking Story of Baby Moana: Why Millions Are Obsessed (Most WT Found!) 📰 From Crib to Launch Pad: Baby Moana’s Unexpected Rise to Fame Explained! 📰 Baby Moana’s Feature Film Teaser Broke Records—Ready for BLOCKBUSTER Status? 📰 Lex Luthor Shocks The World How He Unleashed The President Surge 📰 Lex Luthor Vs Superman The Legendary Showdown You Need To Watch Now 📰 Lex Luthors Secret Move That Busted Supermans Empire Dat Mistakes You Will Feel 📰 Lexi2Legit Age Hack Why Your Age Count Is Wrong Exposed Now 📰 Lexi2Legit Age Revealed Are You Getting Scammed You Wont Believe The Number 📰 Lexington Ky Zip Code Breakdown Whats Live In This Dynamic Neighborhood Now 📰 Lexington Parkette Shocked Everyoneinside This Hidden Luxury Gem 📰 Lexington Parkette Unveiled Secret Features No One Talks About 📰 Lexis Wilson Revealed The Hidden Legacy That Will Change Everything You Know 📰 Lexis Wilson Shocks The Worldyou Wont Believe Her Untold Life Secrets 📰 Lexus Ls400 Celsior The Hidden Gem That Outperforms All Expectations 📰 Leya Johnson Exposed Her Stunning Pastwhat She Did Next Is Irresistible 📰 Leya Johnsons Eye Opening Story Is Full Of Surprisesclick To Uncover 📰 Leyna Johnson Shocked The Worldher Hidden Secrets You Wont Believe Revealed 📰 Lg Monitor Shocker Ultra Sharp 4K At Half Pricedont Miss Out

Final Thoughts

Now the equation becomes:

-5z = 7

Step 2: Isolate the Variable z

To solve for z, divide both sides by –5:

z = 7 ÷ (–5)
z = –7/5

This fraction can also be written as the decimal –1.4, offering two common ways to express the solution.

Why Is Solving Such Equations Important?

Solving linear equations like 3z – 8z = 2 + 5 is fundamental not only in algebra but in many practical scenarios: