2x + 12x - 27 = 16

How to Solve the Equation 2x + 12x - 27 = 16 | Step-by-Step Guide

Solving linear equations like 2x + 12x - 27 = 16 is essential for mastering algebra. Whether you're a student, teacher, or home learner, understanding how to isolate the variable step-by-step empowers you to tackle similar math problems with confidence. In this article, we break down the process for solving 2x + 12x - 27 = 16, explaining each step clearly for better comprehension.

Understanding the Context

Understanding the Equation

Start by simplifying the left-hand side of the equation:

2x + 12x - 27 = 16

Combine like terms:

Key Insights

The terms 2x and 12x are like terms since both contain x.
Add them:
2x + 12x = 14x

So the equation becomes:

14x - 27 = 16

Step 1: Isolate the Variable Term

🔗 Related Articles You Might Like:

📰 Two Innocent Lives Disappeared—Nothing Explains How 📰 They Never Said a Word—Now Everything Changes Forever 📰 The Truth About What Two Taken Revealed 📰 Argenti Exposed The Untold Fact That Shocked The World 📰 Argenti Hsr Explosionexperts Are Calling It The Most Revolutionary Tech Now 📰 Argenti Hsr Shocked The Industrythis Innovation Will Blow Your Mind 📰 Argenti Hsr Unearthed Heres The Secret Technology Behind Its Success 📰 Argenti Teams Crush Goals Inside Their Unbeatable Strategy 📰 Argenti Teams Unleashed The Secret Behind Their Unstoppable Success 📰 Argenti The Hidden Myth Behind The Billion Dollar Legacy You Wont Believe It 📰 Argentina Jersey Secrets Why Every Fan Owns This Iconic Piece For Way More Than Sports 📰 Argentine Food Thatll Make You Crave Every Bitetry It Now 📰 Argentinian Food Thats Take Your Dinner From Meh To Omg Instantly 📰 Argentinian Grill Secrets The Surprisingly Simple Secret To Mjf Level Flavor 📰 Argonauts Powered By Legend Scientists Just Found Evidenceheres Why You Must Read This 📰 Argonauts Unleashed The Epic Quest That Changed History Forever 📰 Arguably The Most Stylish Sweater Of The Year Can You Handle The Hype 📰 Argyle Pattern Secrets Youve Never Seenboost Your Style Instantly

Final Thoughts

To isolate 14x, add 27 to both sides of the equation to eliminate the constant term on the left:

14x - 27 + 27 = 16 + 27

Simplify:
14x = 43

Step 2: Solve for x

Now divide both sides by 14 to solve for x:

x = 43 ÷ 14

So:

x = 43/14 (this is an exact fraction)
or approximately x ≈ 3.07 (decimal form)