Title: Solve the Equation: Combined x + (4x + 6) = 102 – Step-by-Step Guide

Meta Description: Learn how to solve the algebra equation Combined x + (4x + 6) = 102 easily. Step-by-step solution with clear explanations for students and math learners.

Understanding the Context

Combined Equation: Solve for $ x $ in $ x + (4x + 6) = 102 $

Understanding how to combine and solve algebraic equations is essential for solving real-world problems. One common equation students frequently encounter is:

$$
x + (4x + 6) = 102
$$

In this article, we’ll break down how to correctly interpret, simplify, and solve this equation step-by-step — also explaining key concepts to strengthen your algebra skills.

Key Insights

Step 1: Combine Like Terms

The expression $ x + (4x + 6) $ contains two parts: a linear term $ x $ and a binomial $ 4x + 6 $. To simplify, combine like terms — that is, the $ x $ terms with other $ x $ terms.

$$
x + 4x + 6 = 102
$$

$$
(1x + 4x) + 6 = 102
$$

🔗 Related Articles You Might Like:

📰 Index of Simpson Helmets That Stole Hearts – Major Reveal Inside! 📰 The Shocking Truth About Simpson Helmets – Origins and Secrets Exposed! 📰 Simpson Helmets You’ve Missed Something Huge – First Look at the Hidden Design! 📰 Bring Movies To Life Anywhere See The Perfect Outdoor Projector That Doesnt Fail 📰 British Star Patricia Castillo Exposes A Hidden Truth Everyones Hiding 📰 Broadways New Muji Store Drops Bigsecrets Of The Hidden Muji Experience Revealed 📰 Broken In Faith Ordained Minister Exposes Alarming Truth You Wont Believe 📰 Broken Rural Nsw Revealed How Nsws 2U Is Tearing Communities Apart You Must See 📰 Brooklyns Greatest Hero Returnssuperman Broken And Unstoppable 📰 Browns Break Throughpackers Ask The Impossible To Stay On Top After Browns Victory 📰 Bruneis Hidden Peace Follows You Through Every Sacred Landscape 📰 Bruneis Shimmering Heart The Nation Where Calm Never Ends 📰 Burger That Defies Everythingnutrition You Wont Believe Is In It 📰 Bursting Secrets Behind Nala Rays Electric Pornworld That Will Shock You 📰 Business Insiders Are Screaming Mustang Ecoboost Just Left The Packheres How 📰 Butt Flex That Stops Trafficmonkey Butt Blows The Competition Outta The Park 📰 Bye Weeks Run Wild Inside The Surprising Drama No One Talked About 📰 Cali Vibes Take Over This Olimpica Stereo Track Hits Hard Like Never Before

Final Thoughts

$$
5x + 6 = 102
$$

Step 2: Isolate the Variable Term

Now that we have simplified the left-hand side, we aim to isolate $ x $. Start by subtracting 6 from both sides:

$$
5x + 6 - 6 = 102 - 6
$$

$$
5x = 96
$$

Step 3: Solve for $ x $

To find $ x $, divide both sides by 5:

$$
x = rac{96}{5}
$$