Expand: 3x - 12 + 2x = 5x + 6 - High Altitude Science
How to Solve the Equation: 3x - 12 + 2x = 5x + 6
How to Solve the Equation: 3x - 12 + 2x = 5x + 6
Solve algebraic expressions like 3x - 12 + 2x = 5x + 6 with confidence—this step-by-step guide breaks down the process of expanding, simplifying, and isolating variables to find the value of x. Whether you're a student learning algebra or seeking a refresher, understanding how to expand and simplify equations is essential for success in math and related STEM fields.
Understanding the Context
Understanding the Equation
At its core, the equation 3x - 12 + 2x = 5x + 6 requires simplifying both sides using the distributive and combining like terms. Expanding means identifying any parentheses (though none are present here), rearranging terms, and combining variables and constants.
Step 1: Combine Like Terms on Each Side
Key Insights
Start with the left side:
3x + 2x - 12
This simplifies to:
5x - 12
Now the right side:
5x + 6 (already simplified)
Now rewrite the equation:
5x - 12 = 5x + 6
Step 2: Expand and Simplify
🔗 Related Articles You Might Like:
📰 From Curious to Creepy: Slither Wing Behavior That Will Leave You Slithering Back! 📰 Slither Wing Unleashed: Why This Mysterious Winged Predator Will Take Over Your World! 📰 You Won’t Believe How Slouch Boots Transform Your Everyday Outfit – Shop Now! 📰 You Wont Believe This Rare Monkey Pokmon Unlockedstop Playing Longer 📰 You Wont Believe This Rare Moth Pokmon Hidden In The Latest Game Update 📰 You Wont Believe This Saddle Recipe Thatll Change Your Minecraft Game Forever 📰 You Wont Believe This Ultimate Hack To Craft A Map In Minecraftstop Wasting Time 📰 You Wont Believe What 10 Blockbuster Movies Are Coming Out Tonight 📰 You Wont Believe What A Beacon Does In Minecraftgame Changing Secret Revealed 📰 You Wont Believe What A Milk Dragons Dragon Likes In Dragon Ball 📰 You Wont Believe What A Mind Flayer Did To His Victimsreload In Shocking Way 📰 You Wont Believe What A Mudang Reveals About Ancient Korean Magic 📰 You Wont Believe What Bees Are Doing In Minecraft Hunt Them Today 📰 You Wont Believe What Bucky Larson Did On Setstatement Movie Everyones Talking About 📰 You Wont Believe What Came Next The Viral Minecraft Toys Movie Now Everyones Watching 📰 You Wont Believe What Changed In Mk Zombies 4 Prepare To Freak Out 📰 You Wont Believe What Comes Next In Kill Bill 3 Shocking Twist Must Watch 📰 You Wont Believe What Dmxs Unexplored Movies Reveal About His Legendary CareerFinal Thoughts
In this case, no expansion is needed beyond combining like terms. The equation now matches:
5x - 12 = 5x + 6
Subtract 5x from both sides:
-12 = 6
Step 3: Analyze and Interpret
This result, -12 = 6, is a contradiction—meaning there is no solution that satisfies the original equation. Both sides simplify to unlike constants, so no value of x can make the equation true.
Why This Matters (Real-World Application)
Understanding why equations have no solution helps in many areas, from optimizing business models to debugging scientific experiments. Recognizing when equations resolve to contradictions strengthens problem-solving skills in algebra and beyond.
