2x + 12x - 27 = 16 - Simpleprint

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:

📰 Can a Monkey Stuffed Animal Be Your New Cutest Best Friend? Find Out Now! 📰 Shocking Facts Inside: The Ultimate Monkey Stuffed Animal You Need Today! 📰 Watch These Monkey Plushies Go Viral – Why Everyone’s Obsessed! 📰 5Ids 📰 5Isyxbox Game Pass Ultimate 12 Months Youll Want To Join Before Its Too Late 📰 5Lena A High School Student In The Stem Program Is Designing A Circuit With Three Resistors In Parallel The Resistances Are 12 Omega 6 Omega And 4 Omega What Is The Total Resistance Of The Circuit In Ohms 📰 5Ly Zip Code San Francisco Usa Find Your Perfect Area Using This Detailed Breakdown 📰 5Ocarina Of Time The Epic Journey That Defines Platinum Game Perfection 📰 5Pregunta Cul Es El Propsito Principal De Utilizar Un Sistema De Control De Versiones Como Git En Proyectos De Desarrollo De Software 📰 5Pregunta Un Tringulo Rectngulo Tiene Catetos De Longitudes A Y B Y La Hipotenusa C Si El Inradio Del Tringulo Es R Cul Es La Relacin Entre El Rea Del Crculo Inscrito Y El Rea Del Tringulo 📰 5Qu The Ultimate Analysis Why Yoruichis Power Dominates Bleachs Most Memorable Arcs 📰 5Question A Data Scientist Uses A Fair 12 Sided Die To Simulate Random Trials What Is The Probability That Exactly One Of Three Rolls Results In A Number Divisible By 4 And The Other Two Do Not 📰 5Question A Historian Analyzing Ancient Navigation Techniques Encounters A Problem Find All Angles Theta In 0Circ 360Circ Such That Sin Theta Fracsqrt32 Reflecting Methods Used By Early Maritime Explorers 📰 5Question A Palynologist Is Studying A Triangular Pollen Grain With Sides Measuring 13 Cm 14 Cm And 15 Cm Determine The Length Of The Shortest Altitude Of This Triangle 📰 5Question A Spherical Nanoparticle Has Radius R Units And A Hemispherical Drug Carrier Has Radius 3R Units What Is The Ratio Of The Volume Of The Nanoparticle To The Volume Of The Carrier 📰 5Question A Technology Consultant Charges A Fixed Fee Of 300 Plus 75 Per Hour For Advising Companies On Digital Transformation Another Consultant Charges 200 Plus 90 Per Hour After How Many Hours Will The Total Fees From Both Consultants Be Equal 📰 5Question Compute Cos 45Circ And Use It To Find The Length Of The Diagonal Of A Square With Side Length 7 Units 📰 5Question Let A B C Be Positive Real Numbers Such That A B C 1 Find The Minimum Value Of Fraca1 A Fracb1 B Fracc1 C

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)