x + 300 = 1.2x + 180 - Decision Point
Solving the Equation x + 300 = 1.2x + 180: A Step-by-Step Guide
Solving the Equation x + 300 = 1.2x + 180: A Step-by-Step Guide
Understanding how to solve linear equations is a fundamental skill in algebra, and equations like x + 300 = 1.2x + 180 are excellent examples to practice this concept. Whether you’re a student or just brushing up on your math skills, solving this equation step-by-step will help you build strong problem-solving abilities.
Understanding the Context
Understanding the Equation
The equation x + 300 = 1.2x + 180 is a linear equation involving one variable, x. Our goal is to isolate x on one side of the equation to find its exact value. This process reinforces important algebra techniques and strengthens logical thinking.
Step-by-Step Solution
Image Gallery
Key Insights
Step 1: Eliminate the variable on one side
Start by subtracting x from both sides to collect all x terms on the right:
$$
x + 300 - x = 1.2x + 180 - x
$$
This simplifies to:
$$
300 = 0.2x + 180
$$
Step 2: Isolate the constant terms
Subtract 180 from both sides to move all constants to the left:
🔗 Related Articles You Might Like:
📰 How Stonjourner Rewrote History: The Bold Truth Behind His Mysterious Rise! 📰 Stop Light Secret: How This Simple Device Saves Lives Every Day! 📰 You Won’t Believe How Stop Lights Control Traffic Chaos – Here’s Why! 📰 Mind Blowing Snakes Game Online Your Next Obsession Awaitstry It Free Now 5243995 📰 My 401K Fidelity Investments 4268297 📰 Alberto Wasnt Who You Thoughtheres The Real Story 4302271 📰 Tyler Reddick Son 1197671 📰 Discover Your Windows System Instantlyno Tech Skills Required 187951 📰 United Economy Vs Economy Plus 3672819 📰 Take Two Borderlands 4 Sales 6763543 📰 This Rare Commahair Look Is Taking Instagram By Stormheres Why You Need It 471752 📰 Cast Of The Bondsman 9791075 📰 How To Freeze Green Beans 4001583 📰 The Stuffed Poblano Is Taking Dinner Livesheres How 8201962 📰 Five Skiers Found Dead Switzerland 6153409 📰 Ping Vpn Vs Everyone Elsethis Will Leave You Speechless 6882977 📰 A Disaster Analyst Models The Number Of Homes Impacted By Wildfires As A Poisson Distribution With A Mean Of 12 Homes Per Day What Is The Probability That Exactly 10 Homes Are Impacted On A Given Day 7828403 📰 Lip Bite 773553Final Thoughts
$$
300 - 180 = 0.2x + 180 - 180
$$
$$
120 = 0.2x
$$
Step 3: Solve for x
Now divide both sides by 0.2 to solve for x:
$$
x = rac{120}{0.2} = 600
$$
Verification
To ensure the solution is correct, substitute x = 600 back into the original equation:
Left side:
$$
x + 300 = 600 + 300 = 900
$$
Right side:
$$
1.2x + 180 = 1.2(600) + 180 = 720 + 180 = 900
$$
