Understanding and Solving the Equation: 2x + 3 = -x + 5

Solving linear equations is a fundamental skill in algebra, essential for students, educators, and professionals alike. One commonly encountered equation is 2x + 3 = -x + 5, which may seem simple at first glance but offers a great opportunity to reinforce algebraic thinking.

Understanding the Context

What Is the Equation 2x + 3 = -x + 5?

The equation 2x + 3 = -x + 5 sets two expressions equal to each other: on the left, 2 times a variable x plus 3; on the right, negative x plus 5. Solving this equation means finding the value of x that makes both sides equal. This process strengthens problem-solving and critical thinking skills.

Step-by-Step Solution

Solved: |-2 x+3|-5 ≤ 0 [Math]

Image Gallery

Solved: |-2 x+3|-5 ≤ 0 [Math]
Solved: |-2 x+3|-5 ≤ 0 [Math]
A Level Maths | 3 Questions | Mathsbox
Solved: d) (2x-3)/3 + x/5 + (x-1)/2 = 1/5 + (x+3)/2 [Math]
Solved: 2x^2+5x+3=0 [Math]

Key Insights

Step 1: Eliminate the variable on one side
Start by moving all x terms to one side (here, the left) and constant terms to the other side (here, the right):

2x + 3 = -x + 5
2x + x + 3 = 5

2x + x = 3x, so the equation becomes:

3x + 3 = 5

Step 2: Isolate the x term
Subtract 3 from both sides to isolate the term with x:

Continue Reading

MK Movie Cast Drops—The Hidden Actors Set to Rock the Box Office!
This MK Movie Circle Is Full of A-List Stars Everyone’s Obsessed With!
You Won’t Believe What MK Raiden Can Do – Hack the Legend Today!

🔗 Related Articles You Might Like:

📰 Step Into the Future—AI Tattoo Generator Lets You Design.fcontrolid unexpected designs! 📰 Generates Unique Tattoos in Minutes—AI Tattoo Generator Is Changing the Game! 📰 From Sketch to Permanent: AI Tattoo Generator Unlocks Limitless Body Art Possibilities! 📰 Goog Stocktwits Reveals Million Dollar Tradesyou Wont Believe Whats Moving The Market 7425974 📰 What Is Gossip 9456371 📰 How To Clone The Players Character Roblox 1932748 📰 Hbo Streaming Service 3617320 📰 You Wont Believe How Backdoor Roth Ira Saves You Thousands In Taxes Heres How 4962956 📰 Cinderella Wedding Dress 5159728 📰 Download Windows 10 Ltsc Now Boost Your Pc Performance Instantly 51126 📰 Shield Your Skin Like Never Beforewatch Heat Fail Today 9700082 📰 Zod Documentation 6111612 📰 Perfect Your Red Panda Drawing Today Shocking Results Youll Want To Share 7640433 📰 From Puppy To Pro Master The Art Of Nintendogs Like A Real Dog Trainer 1686729 📰 Apps Not Available 7934070 📰 Guams Hidden Secrets No One Wants To Share 9925555 📰 How Zoe Neli Defied Everything And Shocked Her Entire Upbringing 2423393 📰 Midoris Unspoken Sourness Exposes The Bitter Truth Society Doesnt Want To See 46388

Final Thoughts

3x + 3 - 3 = 5 - 3
3x = 2

Step 3: Solve for x
Divide both sides by 3:

x = 2 ÷ 3
x = $\frac{2}{3}$

Verifying the Solution

Substitute $x = rac{2}{3}$ back into the original equation:

Left side:
2x + 3 = 2($\frac{2}{3}$) + 3 = $\frac{4}{3}$ + 3 = $\frac{4}{3}$ + $\frac{9}{3}$ = $\frac{13}{3}$

Right side:
-x + 5 = -\frac{2}{3} + 5 = -\frac{2}{3} + \frac{15}{3}$ = $\frac{13}{3}$

Both sides equal $ rac{13}{3}$, confirming the solution is correct.