= -22x -14 + 14x - DevRocket
Simplifying the Expression: -22x – 14 + 14x – How to Combine Like Terms (Step-by-Step)
Simplifying the Expression: -22x – 14 + 14x – How to Combine Like Terms (Step-by-Step)
Understanding algebraic expressions is fundamental in mastering high school and early college mathematics. One common task students face is simplifying linear expressions like -22x – 14 + 14x. Whether you're solving equations, graphing functions, or working with variables, simplifying expressions makes them easier to analyze and solve.
In this article, we’ll break down the expression -22x – 14 + 14x step by step to show exactly how to combine like terms — a key algebra skill that improves clarity and accuracy in math work.
Understanding the Context
What Is the Expression We’re Simplifying?
We begin with the expression:
-22x – 14 + 14x
This expression contains three terms:
- -22x: a linear term with coefficient -22
- –14: a constant (numerical) term
- +14x: another linear term with coefficient +14
Image Gallery
Key Insights
Step 1: Identify Like Terms
To simplify, we must combine like terms — terms that contain the same variable raised to the same power.
- Like terms with x: -22x and +14x
- Non-like term: –14 (a constant, no variable)
So, only -22x and 14x are like terms and can be combined.
🔗 Related Articles You Might Like:
📰 f(x) = rac{(x+1)^2 + (x-1)^2}{(x-1)(x+1)} - 2 = rac{2x^2 + 2}{x^2 - 1} - 2 = 2\left( rac{x^2 + 1}{x^2 - 1} - 1 📰 ight) = 2\left( rac{2}{x^2 - 1} 📰 ight) = rac{4}{x^2 - 1}. 📰 Goleta 245607 📰 Google Earth App For Mac 9816689 📰 Diamond Ridge Golf Course 4876228 📰 Finally Revealed The Ultimate Stocking Stuffers For Men Guaranteed To Delight 8595554 📰 For Gx X2 4X 9K 9131071 📰 Cambrotb 212529 📰 Wells Fargo Home Equity Loans 9224008 📰 Crushonak Revealed The Shocking Truth Behind His Instagram Fanbase 3998551 📰 The Forgotten Legacy Marie Curies Life And Groundbreaking Discoveries 4436102 📰 Chinky 4527370 📰 The Hidden Truth About Ajitama No One Dares To Share 7066649 📰 The Rock Meme 1382352 📰 Penis Museum 3014432 📰 From Tiktok Fame To Digital Fortune The Rise And Rise Of The Tiktok Coin 1762067 📰 Flights To San Jose Costa Rica 3045044Final Thoughts
Step 2: Combine the x Terms
Add the coefficients of the like terms:
-22x + 14x = (–22 + 14)x = –8x
Step 3: Include the Constant Term
Now replace the x terms and include the constant:
–8x – 14
This is the simplified form.
