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

Mycardstatement
Mycarecorner
Myccbc Login

🔗 Related Articles You Might Like:

📰 Get Crafted Male Gold Earrings Guys Fear Missing Out—Style Just Got Better! 📰 Guten Tag? You’ll Never Guess What This Simple Greeting Can Unlock Today! 📰 The Magic of Saying ‘Guten Tag’—Morning Magic Every Single Time! 📰 Pokellector Obsession Heres What I Foundcompletely Unreal And Unmissable 2456787 📰 Ready To Level Up Here Are The Most Addictive Games Fre Instantly 6413835 📰 Yon 6315918 📰 The Surprising Truth About Kanikama Is It The Oceans Best Kepet Secret 979283 📰 Dr Rachel Levine 1919072 📰 Aiden Austin City Hotel 2724898 📰 Explore The Wildest Cartoon Games From Cartoon Networkunbelievably Addictive 6159095 📰 Hyaluronic Acid Moisturizer 486827 📰 Why Travelers Are Talking About Ile Rodrigues Ile Maurice The Ultimate Adventure Explained 5345925 📰 Why Every Oracle Client Is Smashing Growthyou Need To See This 5592391 📰 Rave About This Divine Sweetness Divinity Candy Thats Taking Over The Internet 2343979 📰 Online Casino Bonuses 8207257 📰 Comida A Domicilio 7716111 📰 Nowvale Stock Price Hitting All Time Highsdont Miss This Explosion Of Gain Today 9258108 📰 Roblox Studio Beta Features 3658952

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.