Expand: 3x - 12 + 2x = 5x + 6 - Dachbleche24
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:
📰 cardinal bird 📰 cards against humanity cards 📰 careers target corporate 📰 Skull Knight Unleashed The Legendary Warrior You Need In Every Fantasy World 📰 Skull Of Island The Mysterious Artifact That Could Unlock Ancient Ocean Legends 📰 Skull Tattoo Ideas From Gory Art To Mistake Proof Style Discover Them Now 📰 Skull Trooper Secrets The Hidden Fighting Power 4 Real Fighters 📰 Skull Trooperrevealed The Toughest Warrior In The Battlezone You Wont Believe Exists 📰 Skull Wallpaper Thats Going Viral Indoorsget It Before Everyone Else 📰 Skullet Haircut Magic The Bold Style Everyone Hair Changers Are Using 📰 Skullet Haircut Secrets Why This Trend Is Taking Over Social Media Today 📰 Skullgirls Explained The Dark Art Style Thats Blazing Up The Gaming Scene 📰 Skullgirls Unlocked The Hidden Secrets Behind These Eye Catching Gems 📰 Skulls Are Everywhere Discover The Skeleton Tattoo Designs Stealing Hearts And Spotlight 📰 Skully Hat Women The Ultimate Style Statement You Cant Ignore 📰 Skully Hat Women The Chic Accessory Thats Crushing Instagram Trends 📰 Skully Hat Women Trend Rock This Deadstudy Look Before It Drops 📰 Skunk Hair Shock Was Yours Too Dull This Look Will Blow Your MindFinal 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.
