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

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:

📰 Epic Clash ReVealed: Who Are the Two Iconic Actors in Iron Man 2? 📰 3-"Iron Man Two Actors Exposed: Can They Bring Flawless Legacy to the Cinematic Universe?" 📰 -"From Tony Stark to the Sequel: Iron Man 2’s Legendary Cast Behind the Helm!" 📰 Peaky Blinders Iconic Hat The Secret Style That Changed History 📰 Peanut Butter Baby Tried To Prove Shes More Than Just A Snackheres What Happened 📰 Peanut Butter Baby You Wont Believe What She Did With Her First Dates Pbj 📰 Peanut Butter Balls That Feel Like Gourmet Cookieseasy To Make 📰 Peanut Butter Crackers That Lock In The Taste You Was Never Ready For 📰 Peanut Butter Crackers Youll Never Stop Crunching 📰 Peanut Butter Loaded With Hot Shot You Wont Believe What Happens Next 📰 Peanut Butter Rice Krispie Treats You Wont Believe Are Easy To Make 📰 Peanut Dog Discovery That Will Change Your Morning Forever 📰 Peanut Plants Defy Everything You Thought You Knewstart Cultivating Now 📰 Peanut Plants Hiding Secrets That Will Change How You Grow Them Forever 📰 Peanut Surprise Thatll Change Everything About Your Soup 📰 Pear Body Shape You Never Knew Existed 📰 Pear Juice That Detoxifies Your Bodyjust One Sip A Day Stop Diseases Today 📰 Pear Tree Secrets No Gardeners Dare Shareyou Wont Believe What Lies Within

Final 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.