\[ 2x + 9x - 15 = 12 \]

Solving the Linear Equation: 2x + 9x - 15 = 12 – A Step-by-Step Guide

Solving equations is a fundamental skill in algebra, essential for students, educators, and anyone working in math-intensive fields. One commonly encountered type is the linear equation, such as 2x + 9x – 15 = 12. Whether you're preparing for exams, teaching algebra, or simply brushing up on math fundamentals, understanding how to solve this equation can boost your confidence and problem-solving skills.

This article provides a clear, detailed breakdown of solving 2x + 9x - 15 = 12, including step-by-step instructions, simplification techniques, and practical applications.

Understanding the Context

Understanding the Equation

Start with the equation:
2x + 9x – 15 = 12

This is a linear equation in one variable, x. Linear equations feature variables raised to the first power only, making them relatively straightforward to solve using inverse operations.

$2x + 9x - 15 = 12$

Key Insights

Step 1: Combine Like Terms

The first step in simplifying the equation is combining like terms — specifically, the terms involving x:

2x + 9x = 11x

So the equation becomes:
11x – 15 = 12

🔗 Related Articles You Might Like:

📰 what they filmed in heaven could shatter what you think you know 📰 What They Refuse to Explain About Halal—You Won’t Believe What Halal Actually Means 📰 The Secrets Behind Halal That Shock Everyone 📰 The Most Alluring Asset That Could Leave You Speechlessand Rich 📰 The Most Crazy Deals Right Here Shoprite Ad Super Powerful Youll Love 📰 The Most Electrifying Hotness Sheis Ever Revealedwatch Your Temper Rise 📰 The Most Exclusive Scenes No One Talks Aboutsee The Smut Manhwas Hidden Heat 📰 The Most Irresistible Investment Youve Never Heard Of 📰 The Most Jaw Dropping Details About The Shocking Spending Bill No One Wanted To See 📰 The Most Mysterious Spanish Boy Names That Will Leave Everyone Speechless 📰 The Most Overlooked Signs Your Gallbladder Needs Immediate Attention 📰 The Most Reward Worthy Outfit For Your Biggest Night Yetrevealed 📰 The Most Secreted Gem Of San Pedro Belize Will Blow Your Mind 📰 The Most Shocking Sinners Movie Moments That Changed Everything 📰 The Most Shocking Spine Tattoo Designs That Make Hearts Skip A Beat 📰 The Most Silly Thing It Can Do Rescue Any Outfit Struggle With Shoulder Length Layered Hair 📰 The Most Striking Snake Eye Piercing You Can Getno More Hiding Your Power Just Pure Fierce Elegance 📰 The Most Stunning Blue Shoes That Will Blow Your Socks Off

Final Thoughts

Step 2: Isolate the Variable Term

To solve for x, isolate the term with the variable. Add 15 to both sides of the equation:

11x – 15 + 15 = 12 + 15
→ 11x = 27

Step 3: Solve for x

Now divide both sides by 11 to solve for x:

x = 27 ÷ 11
x = 27/11

This is the exact solution. As a decimal, x ≈ 2.45, but the simplified fractional form 27/11 is preferred in most mathematical contexts for precision.