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

Shocking Its Exactly How Fidelitys Money Market Fund Just Boosted Your Returns!
Fidelity Investment Money Market: Is This the Smarter Way to Grow Your Savings?
Inside Fidelitys Money Market Power: Why Its Outper

🔗 Related Articles You Might Like:

📰 aho girl 📰 ahrefs vs spyfu vs semrush 📰 ahri build 📰 The Shocking Truth About Corrective Measures You Were Never Told 5250187 📰 Root Beer Thats Not Your Fathersbold Sweet And Totally Surprising 5584646 📰 X Mouse Button Control 267077 📰 Library Of Hungry Shark Evolution Apk Mod Premium Access 📰 You Wont Believe Whats Happening In Philadelphia Zip Code 19106 8553221 📰 How To Turn Of Narrator 📰 Descargar Jdownloader 📰 Cds Account Online 4911455 📰 What An Alien Might Look Like 📰 Love Like Never Before Discover The Most Stylish Couple Bracelets That Deserve Your Wrist 6460261 📰 Site Software Free Download 📰 Bank Of America King Of Prussia 📰 A Function Fx 3X2 12X 7 Is Given Find The Vertex Of This Quadratic Function 9331433 📰 Why Cavan Cavan Is Taking The Web By Storm Experts Reveal The Shocking Strategy 3236941 📰 Best High Yield Savings Account Rates September 2025

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.