Expand: 3x - 12 + 2x = 5x + 6 - ToelettAPP
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:
📰 Don’t Miss These Legendary Anime Movies—They Define the Genre Forever 📰 The Ultimate Top 5 Best Anime Movies of All Time (Revealed!) 📰 YES—These Are the Anime Movies That Everyone Must See (100% Essential Pick!) 📰 Wii U Release Date History Why This Date Changed The Entire Gaming Landscape Forever 📰 Wii U Release Date Revealed You Wont Believe When Nintendo Officially Launched This Amazing Console 📰 Wii Universe Game Hacked The Systemexperience The Ultimate Video Game Adventure 📰 Wii Universe Game Secrets Revealed This Party Classic Wont Let Going 📰 Wiimu U Treasure Tracker Guide Discover Priceless Games No One Knows About 📰 Wiis Secrets Exposed The Hidden Tricks That Will Change Your Gaming Experience Forever 📰 Wiki Monopoly Go Explodes Discover The Hidden Secrets Behind Its Success 📰 Wiki Monopoly Go Why This Wiki Platform Is Dominating The Internet 📰 Wilbur Robinson Shocked Fans The Surprising Journey That Changed Everything 📰 Wilbur Robinson Uncovered The Shocking Truth About His Hidden Legacy 📰 Wilbur Robinsons Secret Life Revealedyou Wont Believe What He Did 📰 Wilco Meaning Revealed The Shocking Truth Behind This Iconic Word 📰 Wild Arms Battle Tactics Why This Brand Is Totally Dominating The Arena 📰 Wild Arms Exposed Dark Powers And Epic Battles You Wont Believe 📰 Wild Arms Rumored To Hold The Key To Battle Dominanceheres What HappensFinal 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.
