x + 300 = 1.2x + 180 - Coaching Toolbox
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:
📰 exclusives: The Dewpider Rumor That Split Gaming Communities—and Why You Need to Watch! 📰 Dewpider Exposed: The Secret Behind This Legendary Streamer That’s Taking the World by Storm! 📰 Is Dewpider Real? The Mind-Blowing Truth Behind the Most Hype Gaming Account! 📰 Berryhill Funeral Home Where Memories Of The Lost Live In Every Obituary 2649166 📰 Woodman Casting X Stella Cox Updated 346131 📰 Brick Recycle 9402611 📰 Croatoan Meaning 5415679 📰 How Many Numbers Powerball 3161544 📰 Why The Nb Message Board Is The Hidden Source Of Viral Trends You Miss 4540036 📰 A Car Accelerates Uniformly From Rest To 30 Ms In 10 Seconds Determine The Distance Traveled During This Time 4078568 📰 This Simple Marginal Tax Rate Formula Will Change How You Pay Tax Foreversee It Now 409009 📰 Gun Of Mayhem This Deadly Weapon Could Be Behind Every Chaos Youve Ever Seen 9402425 📰 Why 84S Factors Are Taking The Internet By Stormfact That Defies Expectations 6158754 📰 Arcturus Star 4702643 📰 5Ever Wanted Instant File Access Heres How To Map A Network Drive Step By Step 3474123 📰 How The Genetic Information Nondiscrimination Act Could Save You From Discriminationdont Ignore These Facts 4810122 📰 Shadows Of Sorer Feet Shoe Repair Just Up The Block 3361139 📰 Zip Code Usa Texas Houston 5753939Final 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:
$$
1.2x + 180 = 1.2(600) + 180 = 720 + 180 = 900
$$
